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

Show that the points whose position vectors are -2hat(i)+3hat(j)+5hat(k),hat(i)+2hat(j)+3hat(k) and 7hat(i)-hat(k) are collinear.

Prove that the four points with position vectors hat(i) + hat(j) + 3hat(k) , hat(i) - 2hat(j) + 2hat(k) and 2hat(i) + 2hat(k) are coplanar.

show that the points whose position vectors are (-2hat(i) +3hat(j) +5hat(k)) (hat(i)+2hat(j)+3hat(k)) " and " (7hat(i) -hat(k)) are collinear.

Show that the points, A, B and C having 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 rightangled triangle. Also, find the remaining angles of the triangle.

Show that the vectors hat(i)-3hat(j)+4hat(k),2hat(i)-hat(j)+2hat(k)and 4hat(i)-7hat(j)+10hat(k) are coplanar.

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.