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A vector, 5 units from the origin, along the X axis, is added to vector 2 units from the origin along the Y axis. What is the resultant vector?

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in Physics – Class 11 by (74.2k points)
A vector, 5 units from the origin, along the X axis, is added to vector 2 units from the origin along the Y axis. What is the resultant vector?

(a) 3î + 8ĵ

(b) 5î + 2ĵ

(c) 2î + 5ĵ

(d) 2î + 7ĵ

This question was addressed to me during a job interview.

The doubt is from Vector Addition in portion Motion in a Plane of Physics – Class 11

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Right answer is (b) 5î + 2ĵ

Easiest explanation: The vector 5 units from the origin and along X axis is 5î. The vector 2 units from the origin and along Y axis is 2ĵ. Hence the sum is 5î + 2ĵ.

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