Home Maths Vector Algebra NTA Abhiyas Question - Vector 3D Lying in the plane x + y + z = 6isa line L p…
Maths Vector Algebra NTA Abhiyas Question - Vector 3D Single Correct MCQ
Published on: August 14, 2026

Lying in the plane x + y + z = 6isa line L passing through (1,2, 3) and perpendicular to the line of intersection of planes x + y + z = 6 and2x - y + z = 4, then the equation of L is

A
B
C
D

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The correct answer is:
C

Required line lies in the plane x + y + z = 6 so it is perpendicular to and it is also perpendicular to line of intersection of the two given planes.

Let, & be a vector along the required line

So,

Hence, equation of the line is

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