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

Write the direction cosines of the vector hat(j) .

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

What is the component of the vector vecr= 3 hati - 4 hatj +7 hatk along hati ?

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

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

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

What is the projection vector of veca along vecb ?

Find the torque of a force vecF = 7hati +3hatj -5hatk about the point whose position vector is vecr = hati - hatj + hatk .

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