If overrightarrow A = 4hat i - 3hat j and ove | vedclass

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(B) Given vectors are $\overrightarrow A = 4\hat i - 3\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$.Sum of vectors: $\overrightarrow A + \overri

Vedclass · Accepted Answer

$5\sqrt{5}, 	an^{-1}(1/2)$

Vedclass · Answer

(B) Given vectors are $\overrightarrow A = 4\hat i - 3\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$.Sum of vectors: $\overrightarrow A + \overrightarrow B = (4+6)\hat i + (-3+8)\hat j = 10\hat i + 5\hat j$.Magnitude: $|\overrightarrow A + \overrightarrow B| = \sqrt{(10)^2 + (5)^2} = \sqrt{100 + 25} = \sqrt{125} = 5\sqrt{5}$.Direction: $	an 	heta = \frac{y}{x} = \frac{5}{10} = \frac{1}{2}$.Therefore,$	heta = 	an^{-1}(1/2)$.

If $\overrightarrow A = 4\hat i - 3\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$,find the magnitude and direction of $\overrightarrow A + \overrightarrow B$.

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