Show that the vectors `veca=2veci+3vecj and vecb =6 veci-4vecj` are at right angles to each other.

Two vector vecA and vecB are at right angles to each other, when

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

Calculate the angle between the vectors veca=3veci+2vecj and vecb=2veci+vecj

Show that the vectors veci-3vecj+2veck, 2veci -4vecj-veck and 3veci+2vecj-veck are linearly independent.

IF veca=2veci+3vecj+4veck and vecb =4veci+3vecj+2veck find the angle between veca and vecb .

If vecF=(4veci-10vecj) and vecr=(5veci-3vecj) , then calculate torque.

If a,b,c be the pth, qth and rth term respectively of H.P. show that the vectors bc veci+pvecj+veck, ca veci+q vecj+veck and ab veci+r vecj+veck are coplanar.

Find the angle between veca=3veci+3vecj-3veck and vecb=2veci+vecj+3veck .

Examine whether the vectors veca=2veci+3vecj+2veck, vecb=veci-vecj+2veck and vecc=3veci+2vecj-4veck form a left handed or a righat handed system.

Statement 1 : veca = 3 veci + p vecj +3veck and vecb = 2veci + 3vecj + qveck are parallel vectors if p = 9//2 and q =2 . Statement 2 : If veca= a_1 veci + a_2 vecj + a_3 veck and vecb = b_1 veci + b_2 vecj + b_3veck are parallel, then (a_1)/(b_1) = (a_2)/(b_2)= (a_3)/(b_3) .