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Question

The angle between a and b is π/6 , then angle between 2a and 3b is

A
π/3
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B
π/2
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C
π/6
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D
none of these
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Solution

The correct option is D π/6
the angle will be same only the magnitude will change
the angle say θ=π6
ab=|a|bcosπ6
ab=32|a|b
2a3b=|2a|3bcosα
6ab=2|a|3bcosα
ab=|a|bcosα
|a|bcosπ6=|a|bcosα
α=π6

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