Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A vector 
of magnitude 8 units is inclined to x -axis at 
, y -axis at 
and an acute angle with z -axis. If a plane passes through a point 
and is normal to 
, then its equation in vector form is
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
Let 
be the angle made by 
with z-axis.
Then direction cosines of 
are 
and 
.
∴ ∴ 
⇒ ⇒ 
, [ 
is acute, ∴ ∴ 
]
We have 
, ∴ ∴ 
The required plane passes through the point 
having position vector 
.
So, its vector equation is 
or 
⇒ ⇒ 
⇒ ⇒ 
.
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