The vector component of b perpendicular to a is: - Vidyadip

MCQ

The vector component of $\vec{\text{b}}$ perpendicular to $\vec{\text{a}}$ is:

A
$\big(\vec{\text{b}}.\vec{\text{c}}\big)\vec{\text{a}}$
✓
$\frac{\vec{\text{a}}\times\big(\vec{\text{b}}\times\vec{\text{a}}\big)}{|\vec{\text{a}}|^2}$
C
$\vec{\text{a}}\times\big(\vec{\text{b}}\times\vec{\text{a}}\big)$
D
None of these

✓

Answer

Correct option: B.

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

The vector component of $\vec{\text{b}}$ perpendicular to $\vec{\text{a}}$ is
$=\frac{\vec{\text{a}}\times\big(\vec{\text{b}}\times\vec{\text{a}}\big)}{|\vec{\text{a}}|^2}$

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