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Vectors · Question 117 of 125

Match each expression in List I with its value in List II.

Question 117

HardOriginal question

Match each expression in List I with its value in List II.

List IList II
A. j^×k^\hat{j} \times \hat{k}I. 0⃗\vec{0}
B. k^⋅k^\hat{k} \cdot \hat{k}II. i^\hat{i}
C. i^×i^\hat{i} \times \hat{i}III. −i^-\hat{i}
D. k^×j^\hat{k} \times \hat{j}IV. 11
Options for question 117

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Going round i^→j^→k^→i^\hat{i} \to \hat{j} \to \hat{k} \to \hat{i} gives ++; against it, −-: j^×k^=i^\hat{j} \times \hat{k} = \hat{i}, k^×j^=−i^\hat{k} \times \hat{j} = -\hat{i}.

  2. k^⋅k^=1\hat{k} \cdot \hat{k} = 1 and i^×i^=0⃗\hat{i} \times \hat{i} = \vec{0}.

Concept
Products of the unit vectors
Typical time
150 s
Your time
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The rule this testsThe vector product
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Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.