Find the vector joining the points P(2, 3, 0) | vedclass

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(A) Since the vector is directed from $P$ to $Q$,$P$ is the initial point and $Q$ is the terminal point.The vector $\overrightarrow{PQ}$ is given by t

Vedclass · Accepted Answer

$-3\hat{i} - 5\hat{j} - 4\hat{k}$

Vedclass · Answer

(A) Since the vector is directed from $P$ to $Q$,$P$ is the initial point and $Q$ is the terminal point.The vector $\overrightarrow{PQ}$ is given by the difference of the position vectors of the terminal point and the initial point:$\overrightarrow{PQ} = (x_2 - x_1)\hat{i} + (y_2 - y_1)\hat{j} + (z_2 - z_1)\hat{k}$Given $P(2, 3, 0)$ and $Q(-1, -2, -4)$:$\overrightarrow{PQ} = (-1 - 2)\hat{i} + (-2 - 3)\hat{j} + (-4 - 0)\hat{k}$$\overrightarrow{PQ} = -3\hat{i} - 5\hat{j} - 4\hat{k}$

Find the vector joining the points $P(2, 3, 0)$ and $Q(-1, -2, -4)$ directed from $P$ to $Q$.

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