Trigonometric EquationHard
Question
A vector 
is equally inclined with the vectors 
= cos θî + sin θĵ, 
= - sin θî + cos θĵ and 
= k. Then angle between 
and 
is -
is equally inclined with the vectors = cos θî + sin θĵ, = - sin θî + cos θĵ and = k. Then angle between and is -Options
A.cos-1 
B.cos-1 
C.cos-1 
D.
Solution
Since 
⇒
are mutually perpendicular
⇒ Vector
= t ((cos θ - sin θ)î + (cos θ + sin θ)
)
Let angle between
and 
be α, then
cos α =
⇒ α = cos-1 
⇒
are mutually perpendicular⇒ Vector
= t ((cos θ - sin θ)î + (cos θ + sin θ)
)Let angle between
and be α, thencos α =
⇒ α = cos-1 Create a free account to view solution
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