Home
Class 12
PHYSICS
Add vectors vecA,vecB and vecC which hav...

Add vectors `vecA,vecB` and `vecC` which have equal magnitude s of 50 unit and are inclined at angles of `45^(@), 135^(@)` and `315^(@)` respectively from x-axos.

Text Solution

Verified by Experts

`:' |vec(A)+vec(B)|=|vec(A)-vec(B)| :. sqrt(A^(2)+B^(2)+2AB cos theta)=sqrt(A^(2)+B^(2)-2AB cos theta)`
or `A^(2)+B^(2)+2AB cos theta=A^(2)+B^(2)-2AB cos theta` or `cos theta=0 :. theta=90^(@)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Theree coplanar vectors vecA,vecB and vecC have magnitudes 4.3 and 2 respectively. If the angle between any two vectors is 120^(@) then which of the following vector may be equal to (3vecA)/(4)+(vecB)/(3)+(vecC)/(2)

Three vectors vecA,vecB and vecC are such that vecA=vecB+vecC and their magnitudes are in ratio 5:4:3 respectively. Find angle between vector vecA and vecC

The magnitudes of vectors vecA,vecB and vecC are respectively 12,5 and 13 unit and vecA+vecB=vecC , then the angle between vecA and vecB is :

Two vectors vecA" and "vecB have equal magnitudes. If magnitude of vecA+vecB is equal to n times the magnitude of vecA-vecB , then the angle between vecA" and "vecB is :-

If non-zero vectors veca and vecb are equally inclined to coplanar vector vecc , then vecc can be

Two vectors having equal magnitude of 5 units, have an angle of 60^(@) between them. Find the magnitude of their resultant vector and its angle from one of the vectors.

Find the angle between two vectors vecaandvecb with magnitudes 1 and 2 respectively and when veca*vecb=1 .

A projectile si thrown with velocity of 50m//s towards an inclined plane from ground such that is strikes the inclined plane perpendiclularly. The angle of projection of the projectile is 53^(@) with the horizontal and the inclined plane is inclined at an angle of 45^(@) to the horizontal. (a) Find the time of flight. (b) Find the distance between the point of projection and the foot of inclined plane.

vecA, vecB" and "vecC are three orthogonal vectors with magnitudes 3, 4 and 12 respectively. The value of |vecA-vecB+vecC| will be :-

Find the angle between two vectors vecaandvecb with magnitudes sqrt(3)and2 , respectively having veca*vecb=sqrt(6) .