If `OP=2hati+3hatj-hatk and OQ=3hati-4hatj+2hatk`, find the modulus and direction cosines of PQ.

If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the modulus and direction cosines of vec(PQ) .

If vec(OP)=2hati+3hatj-hatk and vec(OQ)=5hati+4hatj-3hatk . Find vec(PQ) and the direction cosines of vec(PQ) .

The position vectors of A and B are 3hati - hatj +7hatk and 4hati-3hatj-hatk . Find the magnitude and direction cosines of vec(AB) .

If vecr=2hati-3hatj+2hatk find the direction cosines of vector.

(i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

If a =2hati+3hatj+4hatk and b =4hati+3hatj +2hatk ,find the angel between a and b.

If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hatj+4hatk , then the direction cosine of AB along Y-axis is

If veca=2hati-3hatj-hatk and vecb=hati+4hatj-2hatk , then vecaxxvecb is

If veca=3hati+hatj-4hatk and vecb=6hati+5hatj-2hatk find |veca Xvecb|

If veca = 2hati -3hatj-1hatk and vecb =hati + 4hatj -2hatk " then " veca xx vecb is