Question 2. 2. (TCO 4). Given the components v 1 , v 2 , v 3 of a vector v and a

Question

Question 2.   2. (TCO 4).  Given the components v1, v2, v3 of a vector v and a particular initial point P, find the corresponding terminal point Q and the length of v.  
v = [-2, 2, 3], P = (-4, -2, -3) (Points : 6)                                       [-3  0  0], |v| =
                                        [3  0  0], |v| =
                                        [-2  0  0], |v| =
                                        [2  0  0], |v| =
                                        None of the above; see Problem Work
Find the component vector v with given initial point P and Terminal point Q. Find the length of v (|v|). Find the unit vector in the direction of v. P(-2, -2, -2); Q: (2, 4, -2) The components are v1 = -4, v2 = -6, v3 = 0. The length is. The unit vector is in the direction of v is The components are v1 = 4, v2 = 6, v3 = 0. The length is. The unit vector is in the direction of v is The components are v1 = 2, v2 = 3, v3 = 0. The length is. The unit vector is in the direction of v is The components are v1 = -2, v2 = -3, v3 = 0. The length is. The unit vector is in the direction of v is None of the above; see Problem Work Question 2. 2. (TCO 4). Given the components v1, v2, v3 of a vector v and a particular initial point P, find the corresponding terminal point Q and the length of v. v = [-2, 2, 3], P = (-4, -2, -3) [-3 0 0], |v| = [3 0 0], |v| = [-2 0 0], |v| = [2 0 0], |v| = None of the above; see Problem Work Question 3. 3. (TCO 4). Given the following two vectors perform the given operations: a = [4 -2 0], b = [-2 4 5]. Find a - b (Points : 6) [6, -6 -5] [-6, 6 5] [2 -2 5] [-2 2 -5] None of the above; see Problem Work

Explanation / Answer

1)

PQ= OQ-OP= (4 6 0)=OV

V1=4 ;V2=6; V3=0 and magnitude = sqrt(52)

unit vector = 1/sqrt(52) (4,6,0)

2) OQ=OP+OV= (-6,0,0) and magnitude = 6

none of the above

3) a -b = (6,-6,-5)

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