Magnitude of vector which comes on addition of two vectors, 6hat{i} + 7hat{j} and 3hat{i} + 4hat{j}

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3-1.Vectors

easy

Magnitude of vector which comes on addition of two vectors, $6\hat i + 7\hat j$ and $3\hat i + 4\hat j$ is

A

$\sqrt {136} $

B

$\sqrt {13.2} $

C

$\sqrt {202} $

D

$\sqrt {160} $

Solution

(c) $\vec R = \vec A + \vec B$= $6\hat i + 7\hat j + 3\hat i + 4\hat j$ = $9\hat i + 11\hat j$

$|\vec R|\; = \;\sqrt {{9^2} + {{11}^2}} = \sqrt {81 + 121} = \sqrt {202} $

Standard 11

Physics

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