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 of the following expressions always gives the unit vector along A\mathbf{A}? (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) AA ⁣⋅ ⁣A\dfrac{\mathbf{A}}{\mathbf{A}\!\cdot\!\mathbf{A}}

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