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Question

Find the angle between two vectors a and b with magnitudes 3 and 2 respectively such that a.b=6.

A
π2
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B
π3
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C
π4
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D
π6
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Solution

The correct option is C π4
Let θ be the angle between a and b.
|a|=3,|b|=2 and a.b=6
Therefore, cosθ=a.b|a||b|

cosθ=63×2=12=cosπ4

θ=π4

Hence, the measure of the angle between a and b is π4.

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