Are the points A ,B and C with position vectors `-2hati + 3hatj + 5hatk, hati + 2hatj + 3hatk` and `7 hati - hatk ` respectively collinear ?

Find the position vector of the centroid of the triangle with vertices given by the position vectors - hati +hatj +hatk, hati +2 hatj - hatk and - hati + hatj + hatk .

Find the projection of verctor 2hati+hatj on the vector hati+2hatj .

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

Find the angle between the vector 2 hati+ 3hatj+ hatk and 2 hati - hatj- hatk .

What is the projection of veca = 2hati - hatj + hatk on vec b = hati - 2hatj +hatk ?

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

Find the projection of the vector hati + 3hatj + 7 hatk on the vector 7 hati -hatj + 8 hatk .

Find lambda if the vectors veca = 2hati - hatj+ hatk , vecb = hati + 2hatj - 3hatk and vecc =3 hati + lambdahatj+5 hatk are coplanar.