Projection of vector A on B is - Vidyadip

MCQ

Projection of vector $\vec A$ on $\vec B$ is

A
$\mathop A\limits^ \to .\mathop B\limits^ \to $
✓
$\mathop A\limits^ \to .\hat B$
C
$\mathop B\limits^ \to .\mathop A\limits^ \to $
D
$\hat A.\hat B$

✓

Answer

Correct option: B.

$\mathop A\limits^ \to .\hat B$

b
The projection of $\vec{A}$ on $\vec{B}$ is a vector with length $P Q$ which begins at $P$ in the same direction as $\vec{B}$.

The projection of $\vec{A}$ on $\vec{B}$ is defined as $\frac{\vec{A} \cdot \vec{B}}{|\vec{B}|}=\vec{A} \cdot \hat{B}$

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