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

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

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

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

If = veca = hati-7hatj+7hatk and vecb = 3hati-2hatj+2hatk find vecaxxvecb and |vecaxx vecb| .

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

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

Let veca=hati+3hatj+7hatk and vecb=7hati-hatj+8hatk find the projection of veca on vecb

If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.veca = 2 and veca xx vecc = vecb