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Reviewed CSCA Mathematics question · Easy

Given vectors u = (3, -2, 1) and v = (0, 4, -5), what is the vector 2u - 3v?

  1. (6, -16, 17)
  2. (6, 8, -13)
  3. (6, -16, -13)
  4. (6, 8, 17)
Show the answer and explanation

Correct answer

A. (6, -16, 17)

Principle or equation

Vector scalar multiplication and subtraction are performed component-wise.

Why this answer is correct

2u = (6, -4, 2) and 3v = (0, 12, -15). Then 2u - 3v = (6 - 0, -4 - 12, 2 - (-15)) = (6, -16, 17).

Example

If a = (1, 2) and b = (3, 4), then 2a - b = (2 - 3, 4 - 4) = (-1, 0).

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