Answered: For the points P;(-1,2,5) and…

For the points P;(-1,2,5) and P2(1,5,0), find the direction of P, P2 and the midpoint of line segment P, P2. The direction of P,P2 is i+ (| )j+ k.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 88CP: Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when...

See similar textbooks

Related questions

Q: A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2i^ + 6j^B→ = 3i^ - 2j^

Q: Express the position vector rAB in Cartesianvector form, then determine its magnitude and…

A: From the given figure we can obtain the coordinates of point A and B as, Therefore, the position…

Q: A boy named Jose walks westward for 5 km and then northward for 5 km and then 5 km southwest. How…

Q: In the Projectile experiment, the projectile was fired horizontally with an initial velocity (Vo)…

A: Required : Slope of the graph

Q: Is there any point on the trajectory where v and a are parallel to each other? If so, where? Essay…

Q: X and Y bullets are fired from the same rifle at different elevation angles. Bullet X with an angle…

Q: One day, Sofia goes hiking at a nearby nature preserve. At first, she follows the straight, clearly…

Q: Three cars, A,B, and C, are moving along a straight section of highway. If the velocity of A…

Q: An Olympic diver is on a diving platform 4.5 m above the water. To start her dive, she runs off of…

Q: A student drew the relation between the height h and the square of the horizontal range D2 in the…

Q: Point A moves uniformly with velocity v so that the vector v is continually “aimed” at point B which…

A: Given information:The velocity of the point “A” = v (in the direction of point “B”)Velocity of the…

Q: Determine the magnitude of V1−V2+V3. V1=8.0i^−9.0j^ V2=i^+j^ V3=−1.0i^+4.0j^.

A: The vectors are V1=8.0i-9.0j, V2=i+j, andV3=-1.0i+4.0j.

Q: A particle moves from left to right along the parabola y =x^2 with constant speed 5. Find the…

Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…

Q: Consider a coordinate system in which the positive x axis is directed upward vertically. What are…

A: Given data: Positive x axis is directed vertically upward Location 1 is 5.0 m above the origin…

Q: A particle moving in the x-y plane has a position vector given by r = 0.81t²i +0.74t³j, where r is…

Q: Let V→V→ = 2.00 iˆi^ +6.00 jˆj^ -3.00 kˆk^ . The magnitude of V→V→ is

A: The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is…

Q: A bird flying horizontally 100[m] above the ground flies exactly overhead with respect to an…

Q: A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its…

A: Given data: The particle moves in a straight line Initial position = (0,0) Final position = 3 , 3…

Q: A seasoned mini golfer is trying to make par on a tricky number five hole. The golfer can complete…

A: Given:Horizontal range of the ball (distance between point P and hole) = 1.90 mHeight of the ramp, y…

Q: Let V⃗ 1 = -6.5 i + 8.3 j and V⃗ 2 = -4.9 j + 4.4 i. a)Determine the direction of V⃗ 1.…

Q: MIT's robot cheetah can jump over obstacles 46 cm high and has speed of 12.0 km/h. (a) If the robot…

A: Given data: Height h =46 cm Speed v=12.0 km/h

Q: A snowmobile is originally at the point with position vector 31.3 m at 95.0° counterclockwise from…

A: Original position vector (ro→) = 31.3 m [ cos95oi^ + sin95oj^]= 31.3[-0.087i^ + 0.996j^] m =…

Q: Suppose you take two steps and (that is, two nonzero displacements). Under what circumstances can…

A: To end up at the starting point, the net displacement has to be zero. Two non-zero vectors upon…

Q: A particle P moves along the line x+y=2 in the z plane with a uniform speed 3√2 ft /sec from the…

Q: A projectile (i) is to be launched (3la) above the horizontal direction such that its range (R)…

A: Answer:- (D) 53.10 We know that Horizontal Range (R) = (u2Sin2A)/g Maximum height (H) = (u2…

Q: In Exercises 39-42, the velocity v(t) of a particle moving in the plane is given, along with the…

Q: An electron's position is given by = 4.00tî - 5.00t2 j + 6.00k, with t in seconds and r in meters.…

Q: Figure 3.19 The nearly parabolic trajectories of a bouncing ball. We can get a lot of information…

Q: A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position…

A: Initially frog at the origin, with coordinates O(0,0,0) After a second it is at point P, P=(5…

Q: A snowmobile is originally at the point with position vector 29.0 m at 95.08 counterclockwise from…

Q: The position of a projectile launched from the origin at t= O is given by = (40î + 50})m at t = 2s.…

A: Initial position of projectile = 0i^ + 0j^Position of projectile after 2 seconds = 40i^ + 50j^ m g =…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→=2 i^ + 6 j^B→ = 3 i^ - 2 j^ (a) A→ +B→ =2 i^ + 6 j^ + 3 i^ - 2 j^ = 5 i^ + 4 j^ The magnitude is…

Q: A particle P moves freely under gravity in the plane of a fixed horizontal axis Ox, which lies on…

A: As the vertical component of velocity is V, this velocity goes to zero as the particle reaches its…

Q: The following picture shows the acceleration, a, and velocity, v, vector at several points along an…

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.19. The plane…

Q: In a computer game, an airplane starts at (1, 6) (in cm) on the curve y=5+(1.6t+1)^−1.3and moves…

A: Given that: Initial co ordinate (1,6) in cm y=5+(1.6t+1)-1.3 cm vx=1.6 cm/s

Q: Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-2x +5) m. The magnitude…

Q: If C = 4 m at 68°, and D = 37 m at 169°, what is the direction of the sum of these two vectors (in…

A: Given data The vector C is of length 4 m at 68°. The vector D is of length 37 m at 169°. The vector…

Q: Consider a coordinate system in which the positive x axis is directed upward vertically. What are…

A: A coordinate system is used to identify a location or position of the point. These are indicated by…

Q: In a sport feast, a soccer ball is kicked from ground level over level ground with an initial…

Q: A projectile is launched horizontally from the top edge of a 20 m tall building with a Vox of 25m/s.…

A: Here, the given projectile is horizontal projectile. For horizontal projectile initial vertical…

Q: You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy…

A: a. the resultant x component is equal to the sum of the x components of individual displacement. So…

Q: A particle moves in the xy plane in a circle centered at the origin. At a certain instant the…

A: Since the velocity of the particle is +i, the particle is either at the top of the circle or at the…

Q: Consider three displacement vectors A" = (3x - 3ý ) m, B* = (x – 4ŷ ) m,and C = (-2x + 5ý ) m. The…

Q: A person starts from his home and walks the following distances: i) 200 m, due north ii) 180 m,…

A: There are two errors in the solution One being, The value of 180cos(30) = 155.885m Here the the…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

For the points P,(-1,2,5) and P2(1,5,0), find the direction of P, P2 and the midpoint of line segment P,P2.
The direction of P,P2
Di+
is
i+
k.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
Show that (2arr+2brr)dt=ar2+br2+const. where r is the vector from the origin to the point (x1, x2, x3). The quantities r and r are the magnitudes of the vectors r and r, respectively, and a and b are constants.
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Two points in the xy plane have Cartesian coordinates (2.00, 4.00) m and (3.00, 3.00) m. Determine (a) the distance between these points and (b) their polar coordinates.
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.