P,Q,R,S are points hati-hatj-hatk, -hati...

P,Q,R,S are points `hati-hatj-hatk, -hati+hatj, 2hati-3hatk and 3hati-2hatj-hatk` respectivley. Show that the projectionof PQ on RS is equal to that of RS on PQ each beign `/4/3`. Also fid the cosine of their inclination.

Similar Questions

Explore conceptually related problems

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

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

Prove that points hati+2hatj-3hatk, 2hati-hatj+hatk and 2hati+5hatj-hatk form a triangle in space.

Show that the vectors hati-3hatj+2hatk, 2hati-4hatj-hatk and 3hati+2hatj-hatk are linearly independent

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

Show that the three points -2hati+3hatj+5hatk, hati+2hatj+3hatk, 7hati-hatk are collinear

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3hati-2hatj-hatk are coplanar.

Show that the vectors hati-3hati+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.