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Questions  

If angle between aandbisπ3, then angle between 2aand3b is

a
π3
b
2π3
c
π6
d
5π3

detailed solution

Correct option is B

Step 1: Draw vector a and b    [Ref. Fig.1] Step 2: Draw  2a and −3b          [Ref. Fig.2]Vector 2a will be twice the length of a in the same direction.Vector −3b will be of thrice the size of vector b but in opposite direction. Let ϕ be the angle between 2a and −3b.    ∅=π-π/3=2π/3 Hence, Angle between 2a and −3b is 2π/3​.  2π3

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