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Maths Vector Algebra Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The vectors = x + 2 – 3 & = + y –z are collinear if -

x = 1, y = 2, z = 3

x = 2, y = 1, z = 3/2

x = – 1/2, y = – 4, z = – 6

x = –1, y = –2, z = –3

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b, c, d)

As , are collinear

⇒ = α ⇒ x + 2 – 3 = α ( + y – z ) ⇒ x = α ,

2 = α y, 3 = α z

for α = 1 x = 1, y = 2, z = 3 ⇒ A is correct. for α = 2 x = 2, y = 1, z = 3/2 ⇒ B is correct

for α = – 1/2 , x = – 1/2, y = –4, z = – 6 ⇒ C is correct

for α = –1, x = –1, y = – 2, z = –3

⇒ D is correct

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