Q61 Let u and v be two vectors in R2 whose Euclidean norms satisfy u 2v What is the value such that w u v bisects the angle between u and v gate computer science 2017
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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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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

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