Let A = (6, -2, 4). Find two vectors C and D which are parallel to A. Are C and D also parallel to each other?

1 answer

To find vectors parallel to A, we can multiply A by a scalar. Let's choose a scalar of 2:

C = 2A = 2(6, -2, 4) = (12, -4, 8)

Similarly, let's choose a scalar of -3:

D = -3A = -3(6, -2, 4) = (-18, 6, -12)

Both C and D are parallel to A because they are scalar multiples of A. However, C and D are not parallel to each other because they have different directions.
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