Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
and 
be two unit vectors such that 
. If 
is the angle between 
and 
, then among the statements :
(S2): The projection of 
on 
is 
Text Solution
Verified by ExpertsThe correct answer is:
C
Let the angle be 
between 
and 
2 + 2cos 
+ 4sin 2 
= 4
2 + 2cos 
- 4cos 2 
= 0
Let cos 
= t then
2t 2 -t- 1 = 0
2t 2 -2t + t-1 = 0
2t(t-1) + (t-1) = 0
(2t+1)(t-1) = 0
t= 
or t=1
not possible as 
Now,
S 1 is correct.
S 2 projection of 
on 
.
C Option is true.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let be unit vectors. If c be a vector such that the angle between and is , and , then is equa…
Let a i > 0, i = 1, 2, 3 be a vector which makes equal angles with the coordinates axes OX, OY and…
If and , then the value of is:
Let and be three given vectors. Let be a vector in the plane of and whose projection on is .…
Let and . Then the number of vectors such that and is:
Let and be the vectors along the diagonal of a parallelogram having area . Let the angle between…