If the position vector of three points a

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If the position vector of three points are $\vec a-2\vec b+3\vec c, 2\vec a+3\vec b-4\vec c, -7\vec b +10\vec c$, then the three points are

Options:

collinear

non-coplanar

non-collinear

none of these

Correct Answer:

collinear

Explanation:

Let P, Q, R be the given points. Then, we have

$\vec{QR} = -2 \vec{PQ}$

Hence, P, Q, R are collinear.