EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Vectors · Question 114 of 125

What is a × b?

Question 114

MediumOriginal question

A parallelogram has adjacent sides a⃗=2i^+j^+2k^\vec{a} = 2\hat{i} + \hat{j} + 2\hat{k} and b⃗=2i^+3j^−2k^\vec{b} = 2\hat{i} + 3\hat{j} - 2\hat{k}.

What is a⃗×b⃗\vec{a} \times \vec{b}?

Options for question 114

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. i^(1(−2)−2(3))−j^(2(−2)−2(2))+k^(2(3)−1(2))\hat{i}(1(-2) - 2(3)) - \hat{j}(2(-2) - 2(2)) + \hat{k}(2(3) - 1(2)).

  2. =−8i^+8j^+4k^= -8\hat{i} + 8\hat{j} + 4\hat{k}.

Worth noting

−8i^−8j^+4k^-8\hat{i} - 8\hat{j} + 4\hat{k} forgets the minus sign in front of the j^\hat{j} term.

Concept
Computing a vector product
Typical time
120 s
Your time
—
The rule this testsThe vector product
Practise this chapter →

Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.