The magnitude of resultant of the forces F1¯=4i^−3j^ and F2¯=6i^+8j^ is

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The magnitude of resultant of the forces $\bar{F_{1}} = 4 \hat{i} - 3 \hat{j} and \bar{F_{2}} = 6 \hat{i} + 8 \hat{j}$ is

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$125$

$5 \sqrt{5}$

$10 \hat{i} - 5 \hat{j}$

$- 2 \hat{i} - 3 \hat{j}$

answer is A.

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If $\bar{R}$ is resultant force then $\bar{R} = \bar{F_{1}} + \bar{F_{2}} \Rightarrow \bar{R} = 10 \hat{i} + 5 \hat{j}$

Magnitude of $\bar{R}$ is $| \bar{R} | = R = \sqrt{100 + 25}$

$∴ R = 5 \sqrt{5}$

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