VectorMedium
Question
Let 
and 
A vector in the plane of 
and 
whose projection on 
is 
, is
and A vector in the plane of and whose projection on is , isOptions
A.
B.
C.
D.
Solution
Vector lying in the plane of 
and 
is 
and its projection on 
is 
⇒ [(λ1 + λ2)
- (2λ1 - λ2)
+ (2λ1 + λ2)
].
⇒ 22λ1 - λ2 = - 1 ⇒
Hence the required vector is
.
and is and its projection on is ⇒ [(λ1 + λ2)
- (2λ1 - λ2) + (2λ1 + λ2)].⇒ 22λ1 - λ2 = - 1 ⇒
Hence the required vector is
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