Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A non-zero vector a is parallel to the line of intersection of the plane determined by the vectors i , i + j and the plane determined by the vectors i – j , i + k . The angle between a and the vector i – 2 j + 2 k is
A
or 
B
or 
C
or 
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Equation of plane containing i and i + j is
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ z = 0 ……(i)
Equation of plane containing i – j and i + k is
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
…… (ii)
Let 
.
Since a is parallel to (i) and (ii)
, 
⇒ ⇒ 
, 
Thus a vector in the direction of a is 
.
If θ θ is the angle between a and 
.
Then 
⇒ ⇒ 
⇒ ⇒ 
or 
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