VectorHard
Question
Let 
and 
be three vectors. A vector in the plane of 
and 
, whose projection on 
is of magnitude 
, is
and be three vectors. A vector in the plane of and , whose projection on is of magnitude , isOptions
A.
B.
C.
D.
Solution
Given vectors are 
.
Any vector
in the plane of 
and 
is
.....(i)
Since, projection of on 
is 
∴
⇒
⇒ | - (1 + t) | = 2
⇒ t = 1 or - 3
On putting t = 1,- 3 in Eq. (i) respectively, we get
. Any vector
in the plane of and is .....(i) Since, projection of
on is ∴
⇒
⇒ | - (1 + t) | = 2
⇒ t = 1 or - 3
On putting t = 1,- 3 in Eq. (i) respectively, we get
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