Home
Class 12
PHYSICS
Following forces start acting on a parti...

Following forces start acting on a particle at rest at the origin of the co-ordiante system simultaneously
`vecF_1=4hati-4hatj+5hatk`,`vacF_2=5hati+8hatj+6hatk`,`vecF_3=-3hati+4hatj-7hatk` and `vecF_4=2hati-3hatj-2hatk` then the particle will move

A

in x-y plane

B

in y-z plane

C

in x-z plane

D

along x-axis

Text Solution

Verified by Experts

The correct Answer is:
B
`F_1+vecF_2+vecF_3+vecF_4`
`=(-4hati+5hati-3hati+2hati)+(-5hatj+8hatj+4hatj-3hatj)`
`+(5hatk+6hatk-7hatk-2hatk)=4hatj+2hatk`
The particle will move in y-z plane.
Promotional Banner

Similar Questions

Explore conceptually related problems

If vecF=hati+2hatj-3hatk and vecr=2hati-hatj+hatk find vecrxxvecF

If vecF=2hati+3hatj-hatk and vecr=hati-hatj+6hatk find vecrxxvecF

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

The resultant of the forces vecF_(1)=4hati-3hatj and vecF_(2)=6hati+8hatj is

A particle is acted upon by the forces vecF_(1)=2hati+ahatj-3hatk , vecF_(2)=5hati+chatj-bhatk, vecF_(3)=b hati+5hatj-7hatk, vecF_(4)=chati+6hatj-a hatk . Find the values of the constants a, b, c in order that the particle will be in equilibrium.

Following three forces keep a body in equilibrium. vecF_1=hati+3hatj+2hatk , vecF_2=3hati-4hatk and vecF_3=ahati-3hatj+2hatk , then the value of a is

Three vectors 7hati-11hatj+hatk, 5hati+3hatj-2hatk and 12hati-8hatj-hatk forms

Show that the vectors 4hati-hatj+hatk, 3hati-2hatj-hatk and hati+hatj+2hatk are co-planar.