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Vectors · Question 72 of 125

Question 72

MediumOriginal question

What is the angle between i^−j^\hat{i} - \hat{j} and j^−k^\hat{j} - \hat{k}?

Options for question 72

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. a⃗⋅b⃗=0−1+0=−1\vec{a} \cdot \vec{b} = 0 - 1 + 0 = -1, and each magnitude is 2\sqrt{2}.

  2. cos⁡θ=−12\cos \theta = -\frac{1}{2}, so θ=2π3\theta = \frac{2\pi}{3}.

Worth noting

π3\frac{\pi}{3} drops the minus sign of the scalar product.

Concept
The angle between two vectors
Typical time
90 s
Your time
—
The rule this testsThe scalar product
Practise this chapter →

Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.