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Reviewed CSCA Mathematics question · Easy

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

  1. (5, -8)
  2. (5, 0)
  3. (7, -8)
  4. (7, 0)
Show the answer and explanation

Correct answer

A. (5, -8)

Principle or equation

Vector scalar multiplication and subtraction are performed component-wise.

Why this answer is correct

2u = (6, -4). Subtract v: (6 - 1, -4 - 4) = (5, -8).

Example

If u = (1, 2) and v = (3, 4), then 2u - v = (2 - 3, 4 - 4) = (-1, 0).

This published item includes a stored explanation and passed the platform’s publication workflow. It is independent preparation material, not a claim of an official or recalled examination question.

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