The magnitude of the vector resulting from th | vedclass

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(C) Let the two vectors be $\vec{A} = 6\hat{i} + 7\hat{j}$ and $\vec{B} = 3\hat{i} + 4\hat{j}$.The resultant vector $\vec{R}$ is the sum of $\vec{A}$

Vedclass · Accepted Answer

$\sqrt{202}$

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(C) Let the two vectors be $\vec{A} = 6\hat{i} + 7\hat{j}$ and $\vec{B} = 3\hat{i} + 4\hat{j}$.The resultant vector $\vec{R}$ is the sum of $\vec{A}$ and $\vec{B}$:$\vec{R} = \vec{A} + \vec{B} = (6\hat{i} + 7\hat{j}) + (3\hat{i} + 4\hat{j})$$\vec{R} = (6 + 3)\hat{i} + (7 + 4)\hat{j} = 9\hat{i} + 11\hat{j}$The magnitude of the resultant vector $\vec{R}$ is given by:$|\vec{R}| = \sqrt{R_x^2 + R_y^2}$$|\vec{R}| = \sqrt{9^2 + 11^2}$$|\vec{R}| = \sqrt{81 + 121}$$|\vec{R}| = \sqrt{202}$

The magnitude of the vector resulting from the addition of two vectors,$6\hat{i} + 7\hat{j}$ and $3\hat{i} + 4\hat{j}$,is:

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