Prove that the four points `6 hat i-7 hat j ,16 hat i-19 hat j-4 hat k ,3 hat j-6 hat ka n d2 hat i+5 hat j+10 hat5` form a tetrahedron in space.

Show that the four points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i-5hat j+10k are coplanar.

Show that the four points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

The four points whose position vector are 6hat i-7hat j,16hat i-29hat j-4hat k,3hat i-6hat k,2hat i+5hat j+10k are

Show that the points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

Prove that point hat i+2hat j-3hat k,2hat i-hat j+hat k and 2hat i+5hat j-hat k from a triangle in space.

Show that four points whose position vectors are 6hat i-7hat j,16i-19hat j-4hat k,3hat i-6hat k,2hat i-5hat j+10hat k are coplanar.

Prove that the points hat i-hat j,4hat i-3hat j+hat k and 2hat i-4hat j+5hat k are the vertices of a right angled triangle.

A point on the line hat r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 hat k) and C(7 hat i-3 hat k) are collinear.

Show that the four points A,B,C and D with position vectors 4hat i+5hat j+hat k,-(hat j+hat k),3hat j+9hat j+4hat k and 4(-hat i+hat j+hat k) respectively are coplanar.