What is AB?

What is AB?

Question 93

EasyOriginal question

A triangle has vertices $A(1, 1, 1)$ , $B(2, 3, 3)$ and $C(3, 1, 2)$ .

What is $\overrightarrow{AB}$ ?

-\hat{i} - 2\hat{j} - 2\hat{k}

Correct answerYour answer

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

Correct answerYour answer

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

Correct answerYour answer

\hat{i} + 2\hat{j} + 4\hat{k}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

$\overrightarrow{AB}$ = position vector of $B$ − position vector of $A$ .
$(2 - 1)\hat{i} + (3 - 1)\hat{j} + (3 - 1)\hat{k} = \hat{i} + 2\hat{j} + 2\hat{k}$ .

Worth noting

$-\hat{i} - 2\hat{j} - 2\hat{k}$ is $\overrightarrow{BA}$ , $A$ minus $B$ .

Ten questions from Vectors, at your own pace.

Ten questions from Vectors, at your own pace.