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Question

In a two dimensional motion of particle, the particle moves from point Α, position vector r1 to point B, position vector r2. If the magnitudes of these vectors are, respectively r1=3 and r2=4, and the angles they make with the x- axis are θ1=750and θ2=150, and respectively, then find the magnitude of the displacement vector.


A

15

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B

13

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C

17

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D

15

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Solution

The correct option is B

13


Angle between¯r1and¯r2:θ=700150=600R=r21+r22+2r1r2cos(180600)=32+422×3×4cos 600=13AB=13


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