Given the vectors v and u, answer a. through d. below. v = 9i – 5k u = i+j+k a. Find the dot product of v and u. u•v = Find the length of v. |v| (Type an exact answer, using radicals as needed.) Find the length of u. |u| ||(Type an exact answer, using radicals as needed.) %3D b. Find the cosine of the angle between v and u. cos 0 = (Type an exact answer, using radicals as needed.) c. Find the scalar component of u in the direction of v. (Type an exact answer, using radicals as needed.) d. Find the vector projection of u onto v. proj,u = |(Type your answer in terms of i, j, and k.)

Q: Given the vectors v and u, answer a. through d. below. v= 10i – 4k u=i+j+k a. Find the dot product…

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Q: Find the angle between the vectors u = V3i - 9j and v = /3i+j- 4k. The angle between the vectors is…

A: on solving this we get the

Q: Given the vectors v and u, answer a. through d. below. v 11i-9k u=i+j+k a. Find the dot product of v…

A: The angle between two vector is given by  a.b= |a| |b| cosθ  a.b = dot product  |a| = magnitude of…

Q: Given the vectors v and u, answer a. through d. below. v= 7i- 5k u= i+j+k a. Find the dot product of…

A: Given: v=7i-5k, u=i+j+k

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i 14j as…

A:

Q: Given the vectors v and u, answer a. through d. below. v= 10i + 11j – 2k u= 7i + 24j ..... a. Find…

A: Let's find.

Q: Given the vectors v and u, answer a. through d. below. v = 10i + 11j - 2k u = 7i+ 24j a. Find the…

A: We have two vectors u and v.

Q: Q.3 Find the cosine of the angle between the vectors: (i) a 2i-8j+3k b= 4j + 3k

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Q: Given the vectors v and u, answer a. through d. below. v= 7i-3k u=i+j+k a. Find the dot product of v…

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Q: Given the vectors v and u, answer a. through d. below. v= 10i + 11j - 2k u=7i+24j a. Find the dot…

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Q: Find the magnitude ||v|| , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

A: v=7i-3j-10i-3j⇒v=7i-3j-10i+3j⇒v=7i-10i+3j-3j⇒v=-3i+0j Now comparing with v=xi+yj, we get x=-3 &…

Q: Given the vectors v and u, answer a. through d. below. v = 12i - 9k u=i+j+k a. Find the dot product…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i - 8j as…

A: Suppose ABCD is the parallelogram with AB=i+j & BC=i-8j. So, the diagonals are AC and BD.

Q: 4. D H 12, and BH= 14, find the length of altitude BGto side CD. If AB 16, BC up area formula for…

A: Given:

Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms…

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Q: Given the vectors v and u, answer a. through d. below. v= 10i + 11j - 2k u = 7i + 24j a. Find the…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i – 22j as…

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Q: 6. For the vectors u with magnitude V53 and reference angle 0, = 16° in Quad IV and v = i +6j, find…

A: Note: There are multiple sub-questions. No specific question has been asked. So, We will solve the…

Q: Given vectors Ā = 2â + 4â, + 10â, and B = -5â, + âp - 3â2, find (a) Ã+ B at P(0, -2, 5) , with ¢ =…

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Q: Which one of these vectors has magnitude 4 and makes a 210° angle with the positive x-axis? O -2/3i…

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Q: Compute the dot product of the vectors v and w​, and find the angle between the vectors v=10i−j and…

A: the angle between two vectors v and w is cos thita=(v.w)/|v||w|. For complete solution see the 2nd…

Q: Find the angle between the vectors u = 3i + 5j and v = i - 3j + 4k. The angle between the vectors is…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as…

A: This question is based on vectors and parallelogram properties.

Q: Given the vectors v and u, answer a. through d. below. v= 10i + 11j – 2k u= 8i + 15j a. Find the dot…

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Q: Given two vectors F = (10.0i – 5.00f)N, and i (1.25i + 2.75j) (a) Solve for the i x -F. (b) Using…

A: The  cross product  of two vectors is  given by   a→×b→= i^j^k^a1a2a3b1b2b3   whereas the  dot…

Q: Given the vectors v and u, answer a. through d. below. v = 6i - 3k u=i+j+k a. Find the dot product…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as…

A:

Q: Find the magnitude ||v|| , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

A: To Determine: Find the magnitude ||v|| , to the nearest hundredth, and the direction angle θ, to the…

Q: Given vectors A= 8i - 6k and B= 8i+2j+6k a) Cosine of the angle between A and B___________

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Q: Given the vectors v 8i-3j and w -i+6j, find 3v and v+w. Write your answers in the form a i+bj.

A:

Q: Given the vectors v and u, answer a. through d. below. v 11i- 9k u=i+j+k a. Find the dot product of…

A: Vector Question

Q: Suppose the vector s has magnitude 73 and makes an angle of 114° with the positive x-axis (measured…

A: Answer

Q: Given the vectors v and u, answer a. through d. below. v= 11i-9k u=i+j+k a. Find the dot product of…

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 22j as…

A:

Q: Given the vectors u = -i-4j and w = -2i+5j, find 5u and u +w. Write your answers in the form a i+bj.

A: Given:- u=-i-4j  w=-2i+5j   then, 5u = 5*(-i - 4j) = -5i - 20j Here , a= -5 and b=-20

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as…

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Q: Suppose the vector t has magnitude 96 and makes an angle of 214° with the positive x-axis (measured…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symme…

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Q: Find the angle between the vectors u= - 6i + 6j and v = 6i - 5j + 5k. The angle between the vectors…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as…

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Q: Find the angle between the vectors u = 2i – 6j and v = - 2i + j + 5k. The angle between the vectors…

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Q: Given the vectors v and u, answer a. through d. below. v = 5i - 2k u=i+j+k a. Find the dot product…

A: Solution

Q: 7. For the vectors = 8i + 2j and v = 5i – j Find the dot product u · v, and the angle 0 between the…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Find the following for the vectors u = - 5 i+4j + v7 k and v = 5 i - 4 j- V7 k. a. v•u, lv], and Ju|…

A: We have to find the cosine angle

Q: Given the vectors v and u, answer a. through d. below. v = 11i - 9k u=i+j+k a. Find the dot product…

A: Given vectors: v=11i-9ku=i+j+k

Q: Given the vectors v and u, answer a. through d. below. v = 10i + 11j - 2k u = 7i+ 24j ..... u•v=334…

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Q: Consider the following vectors, ủ = 8i and v = 7i + 4j and answer the Following: a. Find the dot…

A: According to guidelines we should have been able to solve only first question at a time #4

Q: Given vectors A = 2a, + 4a, + 10a, and B = - Sa, + a, - 3a,, find (a) A + B at P(0, 2,-5) (b) The…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.