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 (hati + 2hatj + 7hatk),(2hati + 6hatj + 3hatk) , and (3hati + 10 hatj - 3hatk) respectively, are collinear.

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

The vectors hati + 2 hatj + 3 hatk, lamda hati+ 4 hatj + 7 hatk,-3 hati - 2 hatj - 5 hatk are collinear if lamda is :

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 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.

If the vectors a hati + 3 hatj - 2 hatk and 3 hati - 4 hatj + b hatk are collinear, then (a,b) =

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

The points A,B and C with position vectors 3 hati - y hatj + 2hatk, 5 hati - hatj + hatk and 3x hati+ 3 hatj- hatk are collinear. Find the values of x and y and also the ratio in which the point B divides AC.