Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are i, û, and i respectively. Consider the quantity (-3û x 2t) (a) What is the magnitude of this vector? O 3 O 2 (b) What is the direction of this vector? O down O toward you O up O away from you • left

Suppose that u and v are vectors in R'. Decide whether each statement is always true or not always true. Be sure you can explain why your answers are correct! + 1. ủ · ở = ở · ủ 2. ů xi = -(3 xủ) ? 3. (-ū) × (-i) = -u x i) 4) 4. (-i) = -α . b)

A vector is given as follows: =-37 -27-37 The vector product 7 *7 equals: O A. +37 + 37 O B. +37 + 27 - 31 OC-37 - 27 + 37 D.437 - 37 OE.-37 +37

The position of a particle, A, with respect to a particle, B, can be expressed as ra/B = rA- rB Where the subscript notation A/B means: O The vector from the origin to particle A. O Bwith respect to A. O The vector from the origin to particle B. O A with respect to B.

Calculate the components of the following vectors

How would I figure out the adding and subtracting parallel vectors? how would I figure out the adding and subtracting anti-parallel vectors?

Determine the resultant when the following three vectors are added           together:              Vector #1: 2N, 40oN of E             Vector #2: 1N, 50oS of W             Vector #3: 1.5N, 40oN of W

Two vectors and are given by A=5i+6j+7k and B= 3i-8j+2k. If these two vectors are drawn starting at the same point, what is the angle between them?

Given two vectors Á = 4î + 3j and B = 12î – 5j a)Find the scalar product A · B. b)Find the angle between the two vectors. c)Find the vector product A × B.

Our vectors P and Q have the same amount. How can we rearrange them so that their bottom line is toward right Explain that