Question

. The magnitude of the resultant of two vectors is (1/√2) times the magnitude of the larger vector. If the resultant is perpendicular to the smaller vector, then what is the angle between the original vectors?

Answer 1

The angle between two vectors is when the vectors are tail to tail. If the resultant vector is perpendicular to the smaller of the two original vectors, then the angle between the original vectors must be an obtuse angle.

In the diagram, let vector u represent the larger, and vector v represent the smaller of the original vectors. Let θ represent the angle between the vectors u and v (when they are tail to tail). Let vector r be the resultant of vectors u and v, such that vector r is perpendicular to the smaller vector v, and the magnitude of vector r is 1/√2 times the magnitude of vector v.

@tamanna I ordinarily wouldn't even give out this much information because I'd rather teach you to solve it your self. But since you're not on line at the moment, I hope this will allow you solve the problem now. Try it, and I'll check it the next time I'm on.