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Unit vector which is perpendicular to the vector 4î + 3ĵ is _____(a) ĵ(b) î(c) 4î + 3ĵ(d) \(\hat{z}\)This question was addressed to me in an online quiz.This interesting question is from Vector Addition topic in chapter Motion in a Plane of Physics – Class 11

Answer»

The correct OPTION is (d) \(\hat{z}\)

Explanation: The dot product of any two vectors which are perpendicular to each other is 0. The dot product of all the vectors in the OPTIONS with 4î + 3ĵ is non-zero EXCEPT for \(\hat{z}\). Hence \(\hat{z}\) is perpendicular to the given VECTOR.



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