If the position vectors of points A and B are | vedclass

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(A) The position vector of point $A$ is $\vec{OA} = 2\hat{i} + 3\hat{j} + 4\hat{k}$.The position vector of point $B$ is $\vec{OB} = 3\hat{i} - 4\hat{j

Vedclass · Accepted Answer

$\hat{i} - 7\hat{j} - 9\hat{k}$

Vedclass · Answer

(A) The position vector of point $A$ is $\vec{OA} = 2\hat{i} + 3\hat{j} + 4\hat{k}$.The position vector of point $B$ is $\vec{OB} = 3\hat{i} - 4\hat{j} - 5\hat{k}$.The vector $\overline{AB}$ is given by the formula $\overline{AB} = \vec{OB} - \vec{OA}$.Substituting the values:$\overline{AB} = (3\hat{i} - 4\hat{j} - 5\hat{k}) - (2\hat{i} + 3\hat{j} + 4\hat{k})$Subtracting the corresponding components:$\overline{AB} = (3 - 2)\hat{i} + (-4 - 3)\hat{j} + (-5 - 4)\hat{k}$$\overline{AB} = \hat{i} - 7\hat{j} - 9\hat{k}$.

If the position vectors of points $A$ and $B$ are $2\hat{i} + 3\hat{j} + 4\hat{k}$ and $3\hat{i} - 4\hat{j} - 5\hat{k}$ respectively,find $\overline{AB}$.

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