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

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Question

(B) Let the vertical upward direction be represented by the unit vector $\hat{k}$ and the north direction be represented by the unit vector $\hat{j}$.

Vedclass · Accepted Answer

along west

Vedclass · Answer

(B) Let the vertical upward direction be represented by the unit vector $\hat{k}$ and the north direction be represented by the unit vector $\hat{j}$.Thus,$\vec{A} = A\hat{k}$ and $\vec{B} = B\hat{j}$.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,$\vec{A} 	imes \vec{B} = -AB\hat{i}$.The unit vector $-\hat{i}$ points towards the west. Hence,the vector product is along 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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