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Vectors · Question 7 of 125

Question 7

EasyOriginal question

What is the magnitude of 3i^−4j^+12k^3\hat{i} - 4\hat{j} + 12\hat{k}?

Options for question 7

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Square each component, add, and take the square root.

  2. 9+16+144=169=13\sqrt{9 + 16 + 144} = \sqrt{169} = 13.

Worth noting

19 adds the sizes of the components, 3+4+123 + 4 + 12, instead of their squares.

Concept
The magnitude of a vector
Typical time
60 s
Your time
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The rule this testsVectors and their types
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Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.