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Vectors · Question 8 of 125

Question 8

EasyOriginal question

What is the magnitude of 4i^+4j^−7k^4\hat{i} + 4\hat{j} - 7\hat{k}?

Options for question 8

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

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

  2. 16+16+49=81=9\sqrt{16 + 16 + 49} = \sqrt{81} = 9.

Worth noting

1 adds the components with their signs, 4+4−74 + 4 - 7.

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.