The magnitudes of mutually perpendicular forc | vedclass

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(B) Since the forces $a, b$ and $c$ are mutually perpendicular,they can be represented along the $x, y$ and $z$ axes respectively.Let the vectors be $

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$15$

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(B) Since the forces $a, b$ and $c$ are mutually perpendicular,they can be represented along the $x, y$ and $z$ axes respectively.Let the vectors be $\vec{a} = 2\hat{i}$,$\vec{b} = 10\hat{j}$,and $\vec{c} = 11\hat{k}$.The resultant vector is $\vec{R} = \vec{a} + \vec{b} + \vec{c} = 2\hat{i} + 10\hat{j} + 11\hat{k}$.The magnitude of the resultant is given by $|\vec{R}| = \sqrt{(2)^2 + (10)^2 + (11)^2}$.$|\vec{R}| = \sqrt{4 + 100 + 121} = \sqrt{225} = 15$.

The magnitudes of mutually perpendicular forces $a, b$ and $c$ are $2, 10$ and $11$ respectively. Then the magnitude of its resultant is

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