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:

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 .

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

Find the projection of the vector veca=3hati+2hatj-4hatk on the vector vecb=hati+2hatj+hatk .

For what value of x, the vector vecA=3hati+xhatj-4hatk is perpendicular to be vector vecB=2hati-2hatj+6hatk ?

The vector veca coplanar with the vectors hati and hatj perendicular to the vector vecb=4hati-3hatj+5hatk such that |veca|=|vecb| is

Let veca =hati + hatj + sqrt2 hatk, vecb = b_(1) hati + b _(2) hatj + sqrt2 hatk and vecc = 5 hati + hatj + sqrt2 hatk be three vectors such that the projection vector of vecb on veca is veca. If veca + vecb perpendicular to vecc, then |vecb| is equal to