A body is at rest under the action of three forces, two of which are F1→ = 4i^, F2→ = 6j^, the third force is

F1→+F2→+F3→ =0 ⇒4i^+6j^+F3→ =0∴ F3→ = −4i^−6j^

A body is at rest under the action of three forces, two of which are F1→ = 4i^, F2→ = 6j^, the third force is

F1→+F2→+F3→ =0 ⇒4i^+6j^+F3→ =0∴ F3→ = −4i^−6j^

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A body is at rest under the action of three forces, two of which are $\vec{F_{1}} = 4 \hat{i}$ , $\vec{F_{2}} = 6 \hat{j}$ , the third force is

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$4 \hat{i} - 6 \hat{j}$

$- 4 \hat{i} + 6 \hat{j}$

$4 \hat{i} + 6 \hat{j}$

$- 4 \hat{i} - 6 \hat{j}$

answer is D.

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$\vec{F_{1}} + \vec{F_{2}} + \vec{F_{3}} = 0$ $\Rightarrow$ $4 \hat{i} + 6 \hat{j} + \vec{F_{3}} = 0$

$∴ \vec{F_{3}} = - 4 \hat{i} - 6 \hat{j}$

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A body is at rest under the action of three forces, two of which are F1→ = 4i^, F2→ = 6j^, the third force is

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A body is at rest under the action of three forces, two of which are $\vec{F_{1}} = 4 \hat{i}$ , $\vec{F_{2}} = 6 \hat{j}$ , the third force is