What is the vector from $P(1, -2, 3)$ to $Q(4, 2, -1)$ ?

-3\hat{i} - 4\hat{j} + 4\hat{k}

Correct answerYour answer

3\hat{i} + 4\hat{j} - 4\hat{k}

Correct answerYour answer

5\hat{i} + 2\hat{k}

Correct answerYour answer

3\hat{i} + 4\hat{j} + 4\hat{k}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

$\overrightarrow{PQ} =$ (position vector of $Q$ ) $-$ (position vector of $P$ ).
$(4 - 1)\hat{i} + (2 + 2)\hat{j} + (-1 - 3)\hat{k} = 3\hat{i} + 4\hat{j} - 4\hat{k}$ .

Worth noting

$-3\hat{i} - 4\hat{j} + 4\hat{k}$ is $\overrightarrow{QP}$ , the end minus the start taken the wrong way round.

Ten questions from Vectors, at your own pace.

What is the vector from P(1,−2,3)P(1, -2, 3)P(1,−2,3) to Q(4,2,−1)Q(4, 2, -1)Q(4,2,−1)?