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## Q.61) Let u and v be two vectors in R2 whose Euclidean norms satisfy |u| = 2|v|. What is the value α such that w = u + αv bisects the angle between u and v ? -gate computer science 2017

**A) 2**

**B) 1/2**

**C) 1**

**D) -1/2**

By:satyashiromani

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## Answers

**A) 2**

Explanation:

|u| = 2|v| =|2v|. So u and 2v are vectors of the same length in directions of u and v, so their sum u+2v bisects the angle.

w = u + αv = u + 2 v

That is α = 2

Because, If we have two vectors with equal magnitude in the direction of given vectors, then their sum will bisect the angle between them.

This explanation is contributed by

__Deepak Raj__deepuckraj

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