EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Vectors · Question 13 of 125

Question 13

MediumOriginal question

Which of these triples can be the direction cosines of a line?

Options for question 13

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Direction cosines satisfy l2+m2+n2=1l^{2} + m^{2} + n^{2} = 1.

  2. 12+14+14=1\frac{1}{2} + \frac{1}{4} + \frac{1}{4} = 1; the others give 34\frac{3}{4}, 3 and 13\frac{1}{3}.

Worth noting

13,13,13\frac{1}{3}, \frac{1}{3}, \frac{1}{3} adds to 1, but it is the squares that must add to 1.

Concept
The condition on direction cosines
Typical time
90 s
Your time
—
The rule this testsVectors and their types
Practise this chapter →

Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.