`A B C D` is parallelogram and `P` is the point of intersection of its diagonals. If `O` is the origin of reference, show that ` vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot`

If A B C D is a rhombus whose diagonals cut at the origin O , then proved that vec O A+ vec O B+ vec O C+ vec O D+ vec Odot

If A B C D is a rhombus whose diagonals cut at the origin O , then proved that vec O A+ vec O B+ vec O C+ vec O D =0

A B C D is a quadrilateral. E is the point of intersection of the line joining the midpoints of the opposite sides. If O is any point and vec O A+ vec O B+ vec O C+ vec O D=x vec O E ,t h e nx is equal to a. 3 b. 9 c. 7 d. 4

A B C D is a quadrilateral. E is the point of intersection of the line joining the midpoints of the opposite sides. If O is any point and vec O A+ vec O B+ vec O C+ vec O D=x vec O E ,t h e nx is equal to a. 3 b. 9 c. 7 d. 4

Let A B C D be a parallelogram whose diagonals intersect at P and let O be the origin. Then prove that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

Let A B C D be a p[arallelogram whose diagonals intersect at P and let O be the origin. Then prove that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

Let A B C D be a p[arallelogram whose diagonals intersect at P and let O be the origin. Then prove that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

A B C D are four points in a plane and Q is the point of intersection of the lines joining the mid-points of A B and C D ; B C and A Ddot Show that vec P A+ vec P B+ vec P C+ vec P D=4 vec P Q , where P is any point.

A B C D are four points in a plane and Q is the point of intersection of the lines joining the mid-points of A B and C D ; B C and A Ddot Show that vec P A+ vec P B+ vec P C+ vec P D=4 vec P Q , where P is any point.

A B C D is a quadrilateral and E and the point intersection of the lines joining the middle points of opposite side. Show that the resultant of vec O A , vec O B , vec O Ca n d vec O D is equal to 4 vec O E , where O is any point.