A force of 15 units act iln the direction of the vector `veci-vecj+2veck` and passes through a point `2veci-2vecj+2veck`. Find the moment of the force about the point `veci+vecj+veck`.

Write the unit vector in the direction of vecA=5veci+vecj-2veck .

A force of magnitude 6 acts along the vector (9, 6, -2) and passes through a point A(4, -1,-7) . Then moment of force about the point O(1, -3, 2) is

The norm of vector vecV=3veci-sqrt2vecj is

Find the equation of the plane through the point 2veci+3vecj-veck and perpendicular to the vector 3veci-4vecj+7veck .

Find the vector equation of the line through the points 2veci+vecj-3veck and parallel to vector veci+2vecj+veck

A rigid body is rotating at 5 radians per second about an axis AB where A and B are the pont 2veci+vecj+veck and 8veci-2vecj+3veck respectively. Find the veclocity of the parcticle P of the body at the points 5veci-vecj+veck .

A unit vector coplanar with veci + vecj + 2veck and veci + 2 vecj + veck and perpendicular to veci + vecj + veck is _______

Let veca=2veci+3vecj+4veck and vecb=3veci+4vecj+5veck . Find the angle between them.

Find the equation of the plane through the 2veci+3vecj-veck and perpendicular to the vector 3veci+2vecj-2veck . Determine the perpendicular distance of this plane from the origin.

Find the equation of the plane through the point 2veci-vecj+veck and perpendiulr to the vector 4veci+2vecj-3veck . Determine the perpendicular distance of this plane from the origin.