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

The Eduladder is a community of students, teachers, and programmers just interested to make you pass any exams. So we solve previous year question papers for you.
See Our team
Wondering how we keep quality?
Got unsolved questions?

Ask Questions
GATE-Computer-Science-Engineering-2017-->View question


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

Taged users:
|satyashiromani|vaishnavi-Deshpande|milanyoyoyogmailcom|Umang|ThreeRed|Msshikhil|deepuckraj|Manisha12|pallaviaithaln|milan-ransingh|Yaduraj|harsh|aksingh1818|Shivam-Yadav|Oshal-Borkar|akialwayz|Navina-|leo|Aaditi|madachod|tichaona-garaidenga|ronald|jinsnjjose|dillu550|sumesh|Vinit|thegdx|Areeza-Iqbal|Abdul-Wajid|metaphor

Likes:
|satyashiromani

Dislikes:
Be first to dislike this question

Talk about thisDelete|Like|Dislike|


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

Likes:
Be first to like this answer

Dislikes:
Be first to dislike this answer
Talk about this|Once you have earned teacher badge you can edit this questionDelete|Like|Dislike|
------------------------------------

Can you help us to add better answer here? Please see this



Not the answer you're looking for? Browse other questions from this Question paper or ask your own question.

Join eduladder!