A vector vec{A} points towards North and vect | vedclass

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(A) Let the North direction be along the positive $y$-axis $(+\hat{j})$ and the East direction be along the positive $x$-axis $(+\hat{i})$. Since the

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East

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(A) Let the North direction be along the positive $y$-axis $(+\hat{j})$ and the East direction be along the positive $x$-axis $(+\hat{i})$. Since the vector $\vec{A}$ points towards North,we have $\vec{A} = A\hat{j}$. The vector $\vec{B}$ points upwards,which is perpendicular to the horizontal plane (North-East plane). Let this be the $z$-axis,so $\vec{B} = B\hat{k}$. The cross product is $\vec{A} 	imes \vec{B} = (A\hat{j}) 	imes (B\hat{k})$. Using the cross product rules for unit vectors $(\hat{j} 	imes \hat{k} = \hat{i})$,we get $\vec{A} 	imes \vec{B} = AB\hat{i}$. The direction $\hat{i}$ corresponds to the East direction. Therefore,the vector $\vec{A} 	imes \vec{B}$ points towards East.

$A$ vector $\vec{A}$ points towards North and vector $\vec{B}$ points upwards,then $\vec{A} \times \vec{B}$ points towards ...........

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