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Three-Dimensional Geometry · Question 33 of 120

Which of these are direction ratios of the line?

Question 33

EasyOriginal question

A line passes through $A(2, -1, 3)$ and $B(4, 3, -1)$ .

Which of these are direction ratios of the line?

2, 4, -4

Correct answerYour answer

6, 2, 2

Correct answerYour answer

2, 4, 4

Correct answerYour answer

2, 2, -4

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Subtract the coordinates of $A$ from those of $B$ .
$4 - 2, 3 - (-1), -1 - 3 = 2, 4, -4$ .

Worth noting

$2, 2, -4$ takes $3 - (-1)$ as 2.

Concept: Direction cosines of the line through two points
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsThe equation of a line

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