Compute the magnitude of the following vectors. Also mention whch of these are unit vector: `vecb=2hati-7hatj-3hatk`

Compute the magnitude of the following vectors. Also mention whch of these are unit vector: veca=hati+hatj+hatk

Compute the magnitude of the following vectors. Also mention whch of these are unit vector: hati/sqrt(3)+hatj/sqrt(3)-hatk/sqrt(3)

Compute the magnitude of the following vectors: veca = hati+hatj+hatk,vecb = 3hati+hatj-4hatk,vecc= - 1/sqrt3hati-1/sqrt3hatj+1/sqrt3hatk.

Find a unit vector in the direction of vector vecb = hati + 2hatj + 3hatk .

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

Find a vector of magnitude 21 units in the direction of the vector (2hati - 3hatj + 6hatk) .

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

Show that each of the following three vectors is a unit vector 1/7 (2hati+3hatj+6hatk), 1/7(3hati-6hatj+2hatk).1/7(6hati_2hatj-3hatk) . Also show that they are mutually perpendicular to each other.

The projection of the vector vecA = hat - 2hatj + hatk on the vector vecB = 4hati - 4hatj + 7hatk is