Question

Find two vectors v1 and v2 and whose sum is(3,0,2) , where v1 is parallel to(-4,-2,-4) while v2 is perpendicular to (-4,-2,-4)

Answer 1

since v1 is parallel to .... then it is in fact equal to any scalar of .....

Answer 2

and since v2 is perp to v1 by default; we need to pull a vector out of the plane that v1 is normaled to

Answer 3

at any case:

-4, -2 , -4
-4a, -2b, -4c
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-4-4a = 3

-2-2b = 0

-4-4d = 2

would be equations to fit in

Answer 4

as well as 16a + 4b + 16c = 0 for the dot