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Reviewed CSCA Mathematics question · Hard

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

  1. (11, -13, -13)
  2. (5, 5, 17)
  3. (11, -13, 17)
  4. (5, -13, -13)
Show the answer and explanation

Correct answer

A. (11, -13, -13)

Principle or equation

Vector scalar multiplication and subtraction are performed component-wise.

Why this answer is correct

2u = (8, -4, 2). 3v = (-3, 9, 15). 2u - 3v = (8 - (-3), -4 - 9, 2 - 15) = (11, -13, -13).

Example

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

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