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Question

Physics Question on Motion in a plane

Two vectors have magnitudes 3 and 5. If angle between them is 60^{\circ}, then the dot product of two vectors will be

A

7.5

B

6.5

C

8.4

D

7.9

Answer

7.5

Explanation

Solution

Given A = 3. B = 5 and θ\theta = 60^{\circ}
A.B=3×5×cos60A . B = 3 \times 5 \times cos \, 60^\circ
A.B=15×12=7.5A . B = 15 \times \frac{1}{2} = 7.5