Given A = 3 hat{i} + 4 hat{j} and B = 6 hat{i | vedclass

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(C) First,calculate the magnitudes of vectors $A$ and $B$: $|A| = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ $|B| = \sqrt{6^2 + 8^2} = \sqrt{36

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Both $(a)$ and $(b)$

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(C) First,calculate the magnitudes of vectors $A$ and $B$: $|A| = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ $|B| = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$ Now,check statement $(b)$: $\frac{|A|}{|B|} = \frac{5}{10} = \frac{1}{2}$. This is correct. Next,observe that $B = 2(3 \hat{i} + 4 \hat{j}) = 2A$. Since $B$ is a scalar multiple of $A$,the vectors are parallel. For parallel vectors,the cross product is zero: $A 	imes B = 0$. This is also correct. Since both $(a)$ and $(b)$ are correct,the correct option is $(c)$.

Given $A = 3 \hat{i} + 4 \hat{j}$ and $B = 6 \hat{i} + 8 \hat{j}$,which of the following statements is correct?

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