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Vectors · Question 5 of 125

Question 5

EasyOriginal question

What is the unit vector in the direction of 3i^−4k^3\hat{i} - 4\hat{k}?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. ∣3i^−4k^∣=9+16=5\lvert 3\hat{i} - 4\hat{k} \rvert = \sqrt{9 + 16} = 5.

  2. Divide by 5: 15(3i^−4k^)\frac{1}{5}(3\hat{i} - 4\hat{k}).

Worth noting

17\frac{1}{7} divides by 3+43 + 4, the sizes of the components added, not by the magnitude.

Concept
A unit vector along a given 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.