First slide

Vector triple product

Question

$Let \bar{a}, \bar{b}, \bar{c} be three unit vectors such that \bar{a} + 5 \bar{b} + 3 \bar{c} = \bar{0} then \bar{a} \cdot (\bar{b} \times \bar{c}) is equal to$

Easy

A

$\bar{a} . \bar{b}$
B

$\bar{a} . (\bar{b} + 2 \bar{c})$
C

$\bar{b} . (\bar{a} + \bar{c})$
D

$0$

Solution

$\begin{array}{l} \bar{a} + 5 \bar{b} + 3 \bar{c} = 0 \\ Thus \bar{a}, \bar{b}, \bar{c} are coplanar. \\ Hence \bar{a} \cdot (\bar{b} \times \bar{c}) = 0 \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App