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Vectors · Question 4 of 125

Question 4

EasyOriginal question

What is the magnitude of i^−4j^+8k^\hat{i} - 4\hat{j} + 8\hat{k}?

Options for question 4

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. 1+16+64=9\sqrt{1 + 16 + 64} = 9.

Worth noting

81 is the sum of the squares before the square root is taken.

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.