Question

Find \[\vec{PQ}\] for \[P(2,3,0)\] and \[Q(-1,-2,-4)\], directed from \[P\] to \[Q\].

Options

• \[\vec{PQ}=-\hat{i}-2\hat{j}-4\hat{k}\]

• \[\vec{PQ}=\hat{i}+\hat{j}+4\hat{k}\]

• \[\vec{PQ}=3\hat{i}+5\hat{j}+4\hat{k}\]

• \[\vec{PQ}=-3\hat{i}-5\hat{j}-4\hat{k}\]

Answer 1

Subtract the coordinates of \[P\] from the corresponding coordinates of \[Q\]. Thus, \[\vec{PQ}=(-1-2)\hat{i}+(-2-3)\hat{j}+(-4-0)\hat{k}=-3\hat{i}-5\hat{j}-4\hat{k}\].