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Vectors · Question 32 of 125

Question 32

EasyOriginal question

What is the distance between P(3,−1,2)P(3, -1, 2) and Q(1,2,−4)Q(1, 2, -4)?

Options for question 32

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. PQ→=−2i^+3j^−6k^\overrightarrow{PQ} = -2\hat{i} + 3\hat{j} - 6\hat{k}.

  2. ∣PQ→∣=4+9+36=7\lvert \overrightarrow{PQ} \rvert = \sqrt{4 + 9 + 36} = 7.

Worth noting

21\sqrt{21} adds the position vectors instead of subtracting them.

Concept
The vector joining two points
Typical time
60 s
Your time
—
The rule this testsAddition, components and the section formula
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