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Hindi
3-1.Vectors
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$3N, 4N$ અને $12 N$ જેટલું બળ એક બિંદુ પર પરસ્પર લંબ દિશામાં લાગે છે. તો પરિણામી બળ નું મૂલ્ય ........$N$ થાય.

A

$19$

B

$13$

C

$11 $

D

$5 $

Solution

The forces are mutually perpendicular if they are, $\overrightarrow{ F _1}=3 \hat{ i } N , \overrightarrow{ F _2}=4 \hat{ j }\,N , \overrightarrow{ F _3}=$ $12\,\hat{ k N}$

The resultant force, $\vec{F}=\vec{F}_1+\vec{F}_2+\vec{F}_3=3 \hat{i}+4 \hat{j}+12 \hat{k}$

Magnitude , $F =\sqrt{3^2+4^2+12^2}=\sqrt{169}=13\,N$

Standard 11
Physics

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