A vector vec{A} points vertically upward and | vedclass

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(B) Let the upward vertical direction be represented by the unit vector $\hat{k}$. Thus,$\vec{A} = A\hat{k}$.Let the north direction be represented by

Vedclass · Accepted Answer

Along west

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(B) Let the upward vertical direction be represented by the unit vector $\hat{k}$. Thus,$\vec{A} = A\hat{k}$.Let the north direction be represented by the unit vector $\hat{j}$. Thus,$\vec{B} = B\hat{j}$.The vector product is given by $\vec{A} 	imes \vec{B} = (A\hat{k}) 	imes (B\hat{j})$.Using the cross product rules for unit vectors,$\hat{k} 	imes \hat{j} = -\hat{i}$.Therefore,$\vec{A} 	imes \vec{B} = AB(-\hat{i}) = -AB\hat{i}$.Since the unit vector $\hat{i}$ represents the east direction,$-\hat{i}$ represents the west direction.Hence,the direction of $\vec{A} 	imes \vec{B}$ is along the west.

$A$ vector $\vec{A}$ points vertically upward and $\vec{B}$ points towards north. The vector product $\vec{A} \times \vec{B}$ is

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