[" Let "P,Q,R" and "S" be the points on the plane with position vectors "-2hat i-hat j,4hat i,3hat i+3hat j" and "-3hat i+2hat j" respectively."],[" The quadrilateral PQRS must be a "]

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

Find the image of the point with position vector (3hat i+hat j+2hat k) in the plane vec r*(2hat i-hat j+hat k)=4

The value of p so that vectors 2hat i-hat j+hat k , hat i+2hat j-3hat k and 3hat i+phat j+5hat k are coplanar is

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

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

Show that the points A,B,C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k respectively,are the vertices of a right angled triangle.Also,find the remaining angles of the triangle.

Find the image of the point having position vector hat i+3hat j+4hat k in the planer.vec r*(2hat i-hat j+hat k)+3=0

Show that the points A,B and C with position vectors,vec a=3hat i-4hat j-4hat kvec b=2hat i-hat j+hat k and vec c=hat i-3hat j-5hat k respectively form the vertices of a right angled triangle.

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.