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

The values of a for which the points A, B, and C with position vectors 2hati - hatj + hatk, hati - 3hatj - 5hatk, and ahati - 3hatj + hatk ,respectively, are the vertices of a right-angled triangle with C = pi/2 are

If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

Show that the four points A,B,C and D with position vectors 4hati+5hatj+hatk, -hatj-hatk, 3hati+9hatj+4hatk and 4(-hati+hatj+hatk) respectively, are coplanar.

Show that the three points whose position vectors are -3hati+hatj+5hatk, 2hati+3hatk, -13hati+3hatj+9hatk are collinear

Let A,B,C be points with position vectors 2hati-hatj+hatk,hati+2hatj+hatkand 3hati+hatj+2hatk respectively. Find the shortest distance between point B and plane OAC.

If the points whose position vectors are 2hati + hatj + hatk , 6hati - hatj + 2 hatk and 14 hati - 5 hatj + p hatk are collinear, then p =

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

If A, B, C and D are the points with position vectors hati-hatj+hatk,2hati-hatj+3hatk,2hati-3hatkand3hati-2hatj+hatk respectively, then find the projection of vec(AB)andvec(CD) .