For nonzero vector $\mathbf{A}$, which expression gives a vector in th…

Question

For nonzero vector $\mathbf{A}$, which expression gives a vector in the same direction as $\mathbf{A}$ but of magnitude $1$?

Accepted Answer

C. $\dfrac{\mathbf{A}}{\|\mathbf{A}\|}$

Dividing a nonzero vector by its magnitude normalizes it, producing the unit vector $\hat{\mathbf{A}}=\mathbf{A}/\|\mathbf{A}\|$.
**Option B does not generally give magnitude $1$.**

Answer

$\|\mathbf{A}\|\,\mathbf{A}$

Answer

$\dfrac{\mathbf{A}}{\mathbf{A}\cdot\mathbf{A}}$

Answer

$\mathbf{A}\cdot\mathbf{A}$

For nonzero vector $\mathbf{A}$, which expression gives a vector in the same direction as $\mathbf{A}$ but of magnitude $1$?

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