Let `veca=hati+2hatjandvecb=2hati+hatj`. Is `|veca|=|vecb|`? Are the vectors `vecaandvecb` equal?

Let veca = hatj - hatk and vecc = hati - hatj - hatk. Then the vector vecb satisfying veca xx vecb + vecc= vec0 and veca. Vecb=3 is :

If vecA=3hati+2hatj and vecB=4hatj-5hatk then find |vecA+vecB|

If vecA=3hati+2hatj and vecB=4hatj-5hatk then find |vecA-vecB|

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

Let veca = 2hati + hatj -hatk , vecb = hati + 2hatj - hatk , and vecc = hati + hatj - 2hatk , be three vectors . A vector in the plane of b and c whose projection an a is of magnitude sqrt(2//3) is

If |veca+vecb|=|veca-vecb| , prove that vecaandvecb are perpendicular.