Given the vectors: u = (-6,0,9), v = (7,-5,–1) and w = (1, 1,8), (a) Find the measure of the angle between v and w. (b) Find a vector of length 25 in the direction of w = (1.1.8).

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A: Given points are: P1≡32,72P2≡82,22 Then we get, P2-P1=82-32,22-72⇒P2-P1=52,-52

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A: u = (6,-6)   Magnitude of u = ||u|| = √(36+36) = 6√2

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A: Given :4t,-1 and 4,-1

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2. Find the angle between the following two vectors. and

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A: Vector Question

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.