Two vectors of equal magnitude an incline to each other at an angle x keeping the direction of one of them fix the other is rotated through an equal angle x now the resultant of these vectors has the same magnitude as each of the two vectors. So #/_x# is?

Question

2012 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-23T18:12:56

The angle #x=pi/3rad#

Let the vector be #vecV#

#||vecV||=V#

And we have

By the cosine rule

#V^2=V^2+V^2-2V*V*cosx#

Solving for #cosx#

#2V^2cosx=V^2#

#cosx=1/2#

Therefore,

#x=pi/3 rad#