State True or False for the statements
The line
lies in the plane![]()
False
Given,
Equation of line,
![]()
![]()
Any point on this line should satisfy the plane equation to be on that plane,
Also any point of this line will have a position vector
![]()
Now, Given equation of plane
![]()
Putting a, in the above equation
![]()
= (2 + λ)(3) + (-3 – λ)(1) + (-1 + 2λ)(-1) + 2
= 6 – 3λ – 3 - λ + 1 – 2λ + 2
= 5 – 6λ ≠ RHS
Hence, Line doesn’t lies in the given plane