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Vectors · Question 3 of 125

Question 3

EasyOriginal question

What are the direction cosines of 2i^−j^+2k^2\hat{i} - \hat{j} + 2\hat{k}?

Options for question 3

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The magnitude is 4+1+4=3\sqrt{4 + 1 + 4} = 3.

  2. Divide each component by 3: 23,−13,23\frac{2}{3}, -\frac{1}{3}, \frac{2}{3}.

Worth noting

2,−1,22, -1, 2 are direction ratios; the cosines are those divided by the magnitude.

Concept
Direction cosines 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.