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Two unlike forces of equal magnitudes 3h...

Two unlike forces of equal magnitudes `3hati+hatk and -3hati-hatB 2hati-hatj+3hatk` respectively. Find the moment of the couple formed by these forces.

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Two unlike forces of equal magnitudes hatj+2hatk and -hatj-2hatk are acting at the points whose position vectors are given by hati+hatj+hatk and hati+2hatj+3hatk respectively. Find the moment of the couple formed by these forces.

If p=7hati-2hatj+3hatk and q=3hati+hatj+5hatk , then find the magnitude of p-2q.

The force represented by 3hati+2hatk is acting through the point 5hati+4hatj-3hatk . Find the moment about the point hati+3hatj+hatk .

Three forces hati+2hatj-3hatk,2hati+3hatj+4hatk and -hati-hatj+hatk acting on a particle at the point (0,1,2) the magnitude of the moment of the forces about the point (1,-2,0) is

Dot products of a vector with vertices hati+hatj-3hatk,hati+3hatj-2hatk and 2hati+hatj+4hatk are 0,5 and 8 respectively. Find the vector.

The position vectors of A,B,C are 2hati+hatj-hatk,3hati-2hatj+hatk and hati+4hatj-3hatk respectively. Show that A, B and C are collinear.

The force represented by 5hati+hatk is acting through the point 9hati-hatj+2hatk . Find the moment about the point 3hati-2hatj+2hatk .

Find the angle between the vectors hati-2hatj+3hatk and 3hati - 2hatj + hatk

If A,B,C,D are the points with position vectors : hati+hatj-hatk,2hati-hatj+3hatk,2hati-3hatk,3hati-2hatj+hatk respectively, find the projection of vec(AB) along CD.

Find the dot product of the vector 2hati+3hatj+1hatk and 1hati+2hatj+3hatk

MODERN PUBLICATION-VECTORS-Exercise
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