Express the vector `veca=(5hati-2hatj+5hatk)` as sum of two vectors such that one is paralle to the vector `vecb=(3hati+hatk)` and the other is perpendicular to `vecb`.

If the vector vecb = 3hati + 4hatk is written as the sum of a vector vecb_(1) parallel to veca = hati + hatj and a vector vecb_(2) , perpendicular to veca then vecb_(1) xx vecb_(2) is equal to:

If the vector vecb = 3hati + 4hatk is written as the sum of a vector vecb_(1) parallel to veca = hati + hatj and a vector vecb_(2) , perpendicular to veca then vecb_(1) xx vecb_(2) is equal to:

Projection of the vector veca=2hati+3hatj-2hatk on the vector vecb=hati+2hatj+3hatk is

The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=3hati+hatj+2hatk if S=

The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=3hati+hatj+2hatk if S=

The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=3hati+hatj+2hatk if S=

Find the projection of vector veca=5hati-hatj-3hatk on the vector vecb=hati+hatj+hatk .