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Velocity of a dog is 15 units in the positive X direction and 3 units in positive Y direction starting from the origin. Velocity of a pig is 7 units in the positive Y direction and 17 units in the positive X direction starting from the origin. What is the relative velocity of the dog with respect to the pig?

(a) -2î – 4ĵ

(b) -3î – 2ĵ

(c) -4î – 2ĵ

(d) 7î + 4ĵ

I had been asked this question in examination.

Enquiry is from Motion in a Plane in section Motion in a Plane of Physics – Class 11

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The correct choice is (a) -2î – 4ĵ

To explain: The velocity of the man is 15î+3ĵ and that of the woman is 17î + 7ĵ. Relative velocity = velocity of dog– velocity of pig = -2î – 4ĵ.

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