Find a vector of magnitude 4 units in the direction fo the vector `2hati - hatj + 2hatk`

Find the unit vector along the vector hati + hatj + hatk.

What is the magnitude of the vector hati +hatj +hatk ?

Find the unit vector in the direction of the vector veca+vecb where veca =2hati - hatj +2 hatk and vecb = - hatj +hatj- hatk

Find a unit vector which is perpendicular to both the vectors 2hati + hatj - hatk and 3hati + 4hatj - hatk .

What is unit vector along 2 hati - 3hatj +6 hatk ?

Write a unit vector in direction of the sum of vectors veca = 2hati - hatj+ 2hatk and vecb= - hati +hatj+3 hatk .

What are the direction cosines of the vector veca=hati+2hatj+3hatk ?

Write the projection of vector hati-hatj on the vector hati + hatj .