Given A = 3hat{i} + 4hat{j} and B = 7hat{i} + | vedclass

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(D) First,calculate the magnitude of vector $B$: $|B| = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25$. Next,find the unit vector of $A$ to de

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$15\hat{i} + 20\hat{j}$

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(D) First,calculate the magnitude of vector $B$: $|B| = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25$. Next,find the unit vector of $A$ to determine its direction: $|A| = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = 5$. $\hat{A} = \frac{A}{|A|} = \frac{3\hat{i} + 4\hat{j}}{5}$. The required vector $V$ has magnitude $|B|$ and direction $\hat{A}$: $V = |B| \cdot \hat{A} = 25 \cdot \left( \frac{3\hat{i} + 4\hat{j}}{5} \right)$. $V = 5 \cdot (3\hat{i} + 4\hat{j}) = 15\hat{i} + 20\hat{j}$.

Given $A = 3\hat{i} + 4\hat{j}$ and $B = 7\hat{i} + 24\hat{j}$,find a vector that has the same magnitude as $B$ and is parallel to $A$.

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