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Vectors · Question 39 of 125

Question 39

MediumOriginal question

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

Options for question 39

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. PQ→=3i^+4j^−4k^\overrightarrow{PQ} = 3\hat{i} + 4\hat{j} - 4\hat{k}.

  2. ∣PQ→∣=9+16+16=41\lvert \overrightarrow{PQ} \rvert = \sqrt{9 + 16 + 16} = \sqrt{41}.

Worth noting

41 is the square of the distance.

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

Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.