A particle is acted upon by the following forces `2hati+3hatj+thatk, -5hati+4hatj3hatk and 3hati-7hatk.` In which plane does it move? (A) `xy-plane` (B) `yz-plane` (C) `zx-plane` (D) any arbitrary plane

Show that vector hati + 3hatj + hatk, 2 hati - hatj - hatk, 7 hatj + 3 hatk are parallel to same plane.

Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) and the plane vecr.(3hati+2hatj-hatk)=4 is

The acute angle between the line r=(hati+2hatj+hatk)+lambda(hati+hatj+hatk) and the plane r.(2hati-hatj+hatk)=5

A particle is acted upon by constant forces 4hati +hatj - 3hatk and 3hati + hatj -hatk which displace it from a point hati + 2hatj + 3hatk to the point 5hati + 4hatj + hatk . The work done in standard units by the forces is given by:

The angle between the line 2hati+3hatj+4hatk and the plane overliner.(3hati+2hatj+3hatk)=4 is

the acute angle between the line bary=(hati+2hatj+hatk)+lambda(hati+hatj+hatk) and the plane bary.(2hati-hatj+hatk)=5 is

A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hatk and vecb = 4hati +3hatj-hatk is