Question

Find the initial point P of a vector u with terminal point Q(2,0,2), such that:9Fdhe iiial point P of a vector iu with terminal point g2.0,2, such h a) u has the same direction as v (5,4,-1) b) u is oppositevly directed to v (5,4,-1)

Answer 1

a) P = (-3, 4, 3)

b) P = (7, 4, 1)

Explanation:

a) You want Q-P = (5, 4, -1) where Q = (2, 0, 2). Solving for P, we get ...

P = Q - (5, 4, -1) = (2-5, 4-0, 2-(-1))

P = (-3, 4, 3)

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b) The vector in the opposite direction of the one given is the given one multiplied by -1.

P = Q - (-1)(5, 4, -1) = (2+5, 0+4, 2-1)

P = (7, 4, 1)