If `veca=hati+2hatj-3hatk and vecb=3hati+hatj+2hatk` show that the vectors `veca+vecb` and `veca-vecb` are perpendicular to other.

If veca=5hati-hatj-3hatk and vecb=hati+3hatj-5hatk , then show that the vectors veca+vecb and veca-vecb are perpendicular.

If a=4hati+2hatj-hatk and vecb=5hati+2hatj-3hatk find the angle between the vectors veca+vecb and veca-vecb

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

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

If veca=hati+2hatj-hatk and vecb=3hati+hatj-hatk find a unit vector int direction of veca-vecb .

If veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk calculate veca+vecb

If veca=3hati+4hatj-5hatk and vecb=7hati-3hatj+6hatk find a unit vector along (veca+vecb)xx(veca-vecb) .

If veca=5hati-hatj+7hatk and vecb=hati-hatj+lamda hatk, find lamda such that veca+vecb and veca-vecb are orthogonal

If veca=2hati-hatj+hatk and vecb=3hati+4hatj-hatk , prove that vecaxxvecb represents a vector which perpendicular to both veca and vecb .

If veca=hati+hatj+hatk and vecb=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .