à = ë, + 3ểy – 2ể, : Calculate the angle between the B = 4ëx – ëy : vectors A* and B". = -3e, - 5ẽ,

Q: Determine the direction angle 0 of the vector to the nearest degree. t= (9, 7) (Round to the nearest…

A:

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: 8. Consider the vector v = (-7,8) A. What is the angle between = (-7,8) and the positive x-axis? y…

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Q: 1. Find the magnitude of vector V = 2i -5j. 2 Find the nes and direction an

A: You have posted multiple questions in this question which are not interlinked so i have solved first…

Q: What is the magnitude of the Vector PQ. P=(1,11) and Q= (9,3)

A:

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.