Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Which of the following statements is/are correct ?
A
If 
= 0, 
= 0 and 
= 0 for some non-zero vectors 
, then 
= 0
= 0, = 0 and = 0 for some non-zero vectors , then = 0
B
There exist a vector making angles 30 0 and 45 0 with x and y axes respectively.
C
Locus of point for which x = 3 and y = 4 is a line parallel to the z-axis whose distance from the z-axis, is 5
D
The vertices of a regular tetrahedron are O, A, B, C where 'O' is the origin. The vector 
is perpendicular the plane ABC.
is perpendicular the plane ABC.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, c, d)
since 
= 
∴ 
, 
and 
are coplanar
⇒ 
= 0
cos 2 30 0 + cos 2 45 0 + cos 2 γ = 1 ∴ sin 2 γ = 
= 
which is not possible.
Obvious
= 
= 
= 
i.e., 
is perpendicular to the plane ABC.
Now, 
= 
= 
= 
Hence, the statement is true.
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