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Let a=2i+4j+5k and b=i+3j+6k. Find the angle between them.

Question-AnswerCategory: PhysicsLet a=2i+4j+5k and b=i+3j+6k. Find the angle between them.
Ankit asked 1 year ago

Let a=2i+4j+5k and b=i+3j+6k. Find the angle between them.

1 Answers
Sazid Ahmad answered 1 year ago

Magnitudes A =√(2²+4²+5²) =3√5
B =√(1²+3²+6²) =√46   
Dot product of vectors A.B
=(2i+4j+5k).(i+3j+6k)
=2.1+4.3+5.6 = 44
Also the value of dot product is also given by ABcosθ   
So, ABCosθ=44
Cosθ=44/AB
=44/(3√5.√46)
θ=Cos-1(44/3√5×√6)
θ = 14.74

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