Concept explainers
Suppose
a. What are the x- and y-components of vector
b. Draw a coordinate system and on it show vectors
c. What are the magnitude and direction of vector
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
College Physics: A Strategic Approach (4th Edition)
Additional Science Textbook Solutions
The Cosmic Perspective
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
University Physics (14th Edition)
Introduction to Electrodynamics
Essential University Physics: Volume 1 (3rd Edition)
Tutorials in Introductory Physics
- A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.arrow_forwardA chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the origin of a Cartesian coordinate system at the lower left-hand corner of the screen and the horizontal direction to the right as the +x -direction. If its coordinates are (2.000 m, 1.000 m), (a) how far is it from the corner of the screen? (b) What is its location in polar coordinates?arrow_forwardAt one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?arrow_forward
- A particle undergoes three consecutive displacements given by vectors , and . (a) Find the resultant displacement vector of the particle. (b) What is the magnitude of the resultant displacement? (c) If all displacements were along one line, how far would the particle travel?arrow_forwardVector F is proportional to vector A such that F=mA and m is a scalar. a. If A=2.4+3.0j and F=4.0+5.0j, what is m? b. Why is it impossible to have A=2.4+3.0j and F=4.0+0.50j, given the relationship between the two vectors?arrow_forwardMoving to another question will save this response. Question 6 Given two vectors A = 7i+ 5j - 2k, and B = 3i – 10j + 6k, what is the angle between the two vectors? O A. 112.7° B. 116.3° O C. 118 4° O D. 115° O E. None of these Moving to another question will save this response.arrow_forward
- Two vectors in Cartesian coordinates have components A = (3, 3, 1) and B = (4, 2, 5). 1. What is the length of the vector A? 2. What is the length of the vector B? 3. What is the angle, in degrees, between A and B?arrow_forwardYou found a treasure map and it said: Start at the well, go 100m Straight south, then 30m, 40° north of west, then 25m straight east, and finally 45m, 75° south of east. if the given displacements are named as A, B, C, and D, respectively what are the x- and y- components of vector C? A. 25 m, 25 m B. 0, 25 m C. 25 m, 0 D. -25 m, -25 marrow_forwardTwo unit vectors, a and b make an angle of 60° with each other. a. Construct a well labelled diagram for 2a-4b b. Calculate the magnitude of 2a - 4band its direction relative to vector a or ô (your choice). Round answers to 1 decimal place.arrow_forward
- 1. Three vectors are given by, R = 2î + 3j – 6k, R2 = 21 – mj – 8k and R3 = nî + 4.5j – 9k Explain why R, & R2 are not parallel to each other. R || R3 & 2|R2 x R3| = [R, . (R2 × R3 )] + v58.8n, calculate the value of m. Calculate the angles that the vector (R, – R2) makes with î, ĵ & k axis. (b)arrow_forwardc. c. Find the unit vector u^in the vector F direction, if the position vector a "=3i +4j +2k. If F is 2000N, find the component of F the x, y and z directions.arrow_forwarda. Can a vector have nonzero magnitude if a component is zero?If no, why not? If yes, give an example.b. Can a vector have zero magnitude and a nonzero component?If no, why not? If yes, give an example.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning