If $\vec { a } \neq \overrightarrow { 0 }$ , then $\frac { \vec { a } } { \| \vec { a } \| }$ is a unit vector which is parallel to $\vec { a }$ .

Name: If $\vec { a } \neq \overrightarrow { 0 }$ , then $\frac { \vec { a } } { \| \vec { a } \| }$ is a unit vector which is parallel to $\vec { a }$ .
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Question

Quizplus · Accepted Answer

Dividing a non-zero vector $\vec{a}$ by its magnitude $\|\vec{a}\|$ normalizes the vector, resulting in a unit vector that maintains the same direction as $\vec{a}$, thus being parallel to it.

If a⃗≠0→\vec { a } \neq \overrightarrow { 0 }a=0 , Then

If $\vec { a } \neq \overrightarrow { 0 }$ , Then