If angle between vector a and vector b is pi/3 then angle between 2a and -3b is - Physics - Motion In A Plane

Question

If angle between vector a and vector b is pi/3 then angle between
2a and -3b is?

Sushant · Accepted Answer

hi

Please find below the solution to the asked query:

As we know

Cos ∅ = b
aabwhere ∅ is the angle between the vectorshere,cos (π3) =  b
aab12 =  b
aabso let the angle between 2a and -3b be αCos α = 2a 
-3b2a3bCos α = 6a 
(-b)6ab or, Cos α = a 
(-b)ab = -a
bab = -π3so angle between 2a and 3b is -π3 or π-π3 = 2π3

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If angle between vector a and vector b is pi/3 then angle between 2a and -3b is?