First slide

Scalars and Vectors

Question

Three vectors $\vec{a}, \vec{b} and \vec{c}$ satisfy the relation $\vec{a} \cdot \vec{b} = 0$ and $\vec{a} \cdot \vec{c} = 0$ . The vector A is parallel to

Easy

A

$\vec{b}$
B

$\vec{c}$
C

$\vec{b} \cdot \vec{c}$
D

$\vec{b} \times \vec{c}$

Solution

$\vec{a} \cdot \vec{b} = 0 i.e., \vec{a} and \vec{b} will be perpendicular to each other$
$\vec{a} \cdot \vec{c} = 0 i.e., \vec{a} and \vec{c} will be perpendicular to each other$
$\vec{b} \times \vec{c} will be a vector perpendicular to both \vec{b} and \vec{c}$
$So \vec{a} is parallel to \vec{b} \times \vec{c} .$

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