Show that the points with position vectors `2hati+6hatj+3hatk,hati+2hatj+7hatk and 3hati+10hatj-hatk` are collinear.

Show that the points with position vectors '2 hati+6 hatj+3 hatk, hati+2 hatj+7 hatk' and '3 hati+10 hatj-hatk' are collinear.

The points with position vector 60 hati + 3 hatj, 40 hati - 8 hatj and a hati - 52 hatj are collinear if

Show that the vectors 2 hati-3 hatj+4 hatk and -4 hati + 6 hatj-8 hatk are collinear.

Show that the points A(-2 hati+3 hatj+5 hatk) , B(hati+2 hatj+3 hatk) and C(7 hati-hatk) are collinear.

Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-4 hatj-4 hatk form the vertices of a right-angled triangle.

Area of a rectangle having vertices 'A, B, C' and 'D' with position vectors '-hati+1/2 hatj+4 hatk', 'hati+1/2 hatj+4 hatk, hati-1/2 hatj+4 hatk' and '-hati-1/2 hatj+4 hatk' respectively is

If the vectors 2hati + 2hatj + 6hatk, 2hati + 6hatj + 2hatk+ lambdahatj+6hatk and 2hati - 3hatj + hatk are coplanar, then the value of lambda is

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

Find the sum of the vectors. veca=hati-2 hatj+hatk, vecb=-2 hati+4 hatj+5 hatk and vecc=hati-6 hatj-7 hatk