Home
Class 12
PHYSICS
Two vectors vecA and vecB have equal mag...

Two vectors `vecA` and `vecB` have equal magnitudes. The magnitude of `(vecA+vecB)` is n times the magnitude of `(vecA-vecB)`. The angle between `vecA` and `vecB` is :

Text Solution

Verified by Experts

`|vecA+vecB|=n|vecA-vecB|`
`2A "cos"(theta)/(2)=n2A "sin"(A=B)`
`:. "tan" (theta)/(2)=(1)/(2), (theta)/(2)= tan^(-1)((1)/(n)), theta= 2tan^(-1)((1)/(n))`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-A (Vectors & Scalars)|25 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-A (Addition & Subtractions of Vectors)|10 Videos
  • MAGNETISM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|22 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|7 Videos

Similar Questions

Explore conceptually related problems

Two vectors vec A and vecB have equal magnitudes.If magnitude of (vecA+vecB) is equal to n times of the magnitude of (vecA-vecB) then the angle between vecA and vecB is :-

If vecA*vecB=|vecAxxvecB| . Then angle between vecA and vecB is

If |vecA xx vecB| = vecA.vecB then the angle between vecA and vecB is :

The maximum value of magnitude of (vecA-vecB) is

If veca . vecb =ab then the angle between veca and vecb is

The angle between veca xx vecb and vecb xx veca is

If |veca xx vecb| = ab then the angle between veca and vecb is

Two vectors vecA and vecB have magnitude in the ratio 1:2 respectively. Their difference vector has as magnitude of 10 units, and the angle between vecA & vecB is 120^(@) . The magnitude of vecA and vecB are :

The resultant of two vectors vecA and vecB is perpendicular to the vector vecA and its magnitude is equal to half of the magnitude of the vector vecB . Find out the angles between vecA and vecB . .

If |vecA xx vecB| = |vecA*vecB| , then the angle between vecA and vecB will be :