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Vectors · Question 74 of 125

Question 74

MediumOriginal question

For which λ\lambda are λi^+2j^+k^\lambda\hat{i} + 2\hat{j} + \hat{k} and 4i^−9j^+2k^4\hat{i} - 9\hat{j} + 2\hat{k} perpendicular?

Options for question 74

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 4λ−18+2=04\lambda - 18 + 2 = 0.

  2. λ=4\lambda = 4.

Worth noting

92\frac{9}{2} leaves out the k^\hat{k} term, 1×21 \times 2.

Concept
Perpendicular 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.