Expression left( {frac{1}{{√ 2 }}hat{i} + frac{1}{{√ 2 }}hat{j}} right) is a

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3-1.Vectors

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The expression $\left( {\frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j} \right)$ is a

A

Unit vector

B

Null vector

C

Vector of magnitude $\sqrt 2 $

D

Scalar

Solution

(a) $\vec P = \frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j$

$|\vec P| = \sqrt {{{\left( {\frac{1}{{\sqrt 2 }}} \right)}^2} + {{\left( {\frac{1}{{\sqrt 2 }}} \right)}^2}} = 1$

It is a unit vector.

Standard 11

Physics

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