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Vectors · Question 68 of 125

Question 68

MediumOriginal question

For which λ\lambda are 2i^+λj^+k^2\hat{i} + \lambda\hat{j} + \hat{k} and i^−2j^+3k^\hat{i} - 2\hat{j} + 3\hat{k} perpendicular?

Options for question 68

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Perpendicular means the dot product is 0: 2−2λ+3=02 - 2\lambda + 3 = 0.

  2. λ=52\lambda = \frac{5}{2}.

Worth noting

−52-\frac{5}{2} loses the sign of the −2λ-2\lambda term.

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.