Question

A car travels 5m in X direction and then 7m in Y direction. What is the final vector position of the car with respect to the origin?

(a) 5î + 7ĵ

(b) 7î + 5ĵ

(c) 7î + 7ĵ

(d) 5î + 5ĵ

The question was asked in an internship interview.

I would like to ask this question from Motion in a Plane in section Motion in a Plane of Physics – Class 11

Answer 1

The correct answer is (a) 5î + 7ĵ

To explain I would say: Unit vector along X is î and that along Y is ĵ. Hence, when the car travels 5m in X direction and 7m in y direction, the final position becomes 5î + 7ĵ.