Mathematics for IGCSE & O level - Vectors (Section 6 - No. 15)
Given vector a = [x, y], and scalar k, which of the following statements are true regarding ka?
The magnitude of ka is k times the magnitude of a
The direction of ka is always the same as a.
If k is negative, the direction of ka is opposite to a.
The magnitude of ka is always bigger than a.
Explanation
Scaling with k changes the magnitude. If k is negative, direction changes.
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