The orthogonal projection of a on b is: - Vidyadip

MCQ

The orthogonal projection of $\vec{\text{a}}$ on $\vec{\text{b}}$ is:

A
$\frac{\big(\vec{\text{a}}.\vec{\text{b}}\big)\vec{\text{a}}}{|\vec{\text{a}}|^2}$
✓
$\frac{\big(\vec{\text{a}}.\vec{\text{b}}\big)\vec{\text{b}}}{\big|\vec{\text{b}}\big|^2}$
C
$\frac{\vec{\text{a}}}{|\vec{\text{a}}|}$
D
$\frac{\vec{\text{b}}}{\big|\vec{\text{b}}\big|}$

✓

Answer

Correct option: B.

$\frac{\big(\vec{\text{a}}.\vec{\text{b}}\big)\vec{\text{b}}}{\big|\vec{\text{b}}\big|^2}$

The orthogonal projection of $\vec{\text{a}}$ on $\vec{\text{b}}$ is
$=\frac{\big(\vec{\text{a}}.\vec{\text{b}}\big)\vec{\text{b}}}{\big|\vec{\text{b}}\big|^2}$

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