ABC is a triangle and P any point on BC. if ` vec P Q` is the sum of ` vec A P` + ` vec P B` +` vec P C` , show that ABPQ is a parallelogram and Q , therefore , is a fixed point.

ABC is a triangle and P any point on BC.if vec PQ is the sum of vec AP+vec PB+vec PC ,show that ABPQ is a parallelogram and Q, therefore,is a fixed point.

ABC is a triangle and P any point on BC. If vec(PQ) is the sum of vec(AP)+vec(PB)+vec(PC) , show that ABQC is a parallelogram and Q, therefore, is a fixed point.

ABC is a triangle and P any point on BC .If bar(P)Q is the sum of bar(A)P+bar(P)B+bar(P)C; show that ABQC is a parallelogram and Q therefore; is a fixed point.

IN any /_\ABC, a point p is on the side BC. If vec(PQ) is the resultant of the vectors vec(AP) , vec(PB) and vec(PC) the prove that ABQC is a parallelogram and hence Q is a fixed point.

IN any /_\ABC, a point p is on the side BC. If vec(PQ) is the resultant of the vectors vec(AP) , vec(PB) and vec(PC) the prove that ABQC is a parallelogram and hence Q is a fixed point.

If P is a point and A B C D is a quadrilateral and vec A P+ vec P B+ vec P D= vec P C , show that A B C D is a parallelogram.

If P is a point and A B C D is a quadrilateral and vec A P+ vec P B+ vec P D= vec P C , show that A B C D is a parallelogram.

Prove by vector method that in any triangle ABC, the point P being on the side vec(BC) , if vec(PQ) is the resultant of the vectors vec(AP) , vec(PB) and vec(PC) , then ABQC is a parallelogram.

If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R are collinear.

If vec P and vec Q are two vectors, then the value of (vec P + vec Q) xx (vec P - vec Q) is