Which of the following equals the magnitude of when is a non-zero vector and is any…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Which of the following equals the magnitude of kak\mathbf{a} when a\mathbf{a} is a non-zero vector and kk is any real scalar? (a) k∣a∣k|\mathbf{a}| (b) ∣k∣+∣a∣|k|+|\mathbf{a}| (c) ∣k∣ ∣a∣|k|\,|\mathbf{a}| (d) ∣k∣ ∣a∣2|k|\,|\mathbf{a}|^{2}

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