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Vectors · Question 1 of 125

Question 1

EasyOriginal question

What is the magnitude of 2i^−3j^+6k^2\hat{i} - 3\hat{j} + 6\hat{k}?

Options for question 1

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. ∣ai^+bj^+ck^∣=a2+b2+c2\lvert a\hat{i} + b\hat{j} + c\hat{k} \rvert = \sqrt{a^{2} + b^{2} + c^{2}}.

  2. 4+9+36=7\sqrt{4 + 9 + 36} = 7.

Worth noting

5 adds the components, 2−3+62 - 3 + 6; the magnitude adds their squares under a root.

Concept
The magnitude of a vector
Typical time
60 s
Your time
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The rule this testsVectors and their types
Practise this chapter →

Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.