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Vectors · Question 33 of 125

Question 33

EasyOriginal question

What are the vector components of 3i^−2j^+5k^3\hat{i} - 2\hat{j} + 5\hat{k} along the axes?

Options for question 33

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. For a1i^+a2j^+a3k^a_1\hat{i} + a_2\hat{j} + a_3\hat{k}, the scalar components are a1,a2,a3a_1, a_2, a_3 and the vector components are a1i^,a2j^,a3k^a_1\hat{i}, a_2\hat{j}, a_3\hat{k}.

  2. Here the vector components are 3i^3\hat{i}, −2j^-2\hat{j} and 5k^5\hat{k}, each keeping its sign.

Worth noting

3,−2,53, -2, 5 are the scalar components; the vector components carry the unit vectors.

Concept
Scalar and vector components
Typical time
60 s
Your time
—
The rule this testsAddition, components and the section formula
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Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.