Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let the unit vectors 
& 
are perpendicular and the moduli vector 
inclined at an angle α to 
& 
if
= λ 
+ m 
+ n( 
+ 
) then
A
λ = m
B
n 2 = 1 – 2 λ 2
C
n 2 = – cos 2 α
D
m 2 = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c, d)
. 
= 
. 
= cos a( 
| 
| = | 
| = | 
| = 1) also 
. 
= 0
= λ 
+ m 
+ n ( 
× 
) ∴ 
. 
= λ ( 
. 
) + m 
. 
+ n 
.
( 
× 
)
. 
= λ cos α ⇒ 
. 
= m cos α ⇒ λ = m Now | 
| = 1 ⇒ 1 = 2 λ 2 + n 2 | 
× 
| 2 ⇒ 1 = 2 λ 2 + n 2 ⇒ n 2 = 1 – 2 λ 2 = 1 – 2 cos 2 α = – cos2 α λ 2 = m 2 = 
= 
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