For a non-zero vector

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

Problem

For a non-zero vector a\mathbf{a}, which expression gives the vector having the same direction as a\mathbf{a} but unit magnitude? (a) a∣a∣2\dfrac{\mathbf a}{|\mathbf a|^{2}} (b) ∣a∣ a|\mathbf a|\,\mathbf a (c) a∣a∣\dfrac{\mathbf a}{|\mathbf a|} (d) a∣a∣\dfrac{\mathbf a}{\sqrt{|\mathbf a|}}

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