Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. If `veca` is any vector, prove that `veca=(veca*i)i+(veca*j)j+(veca*k)k`.
Topper's Solved these Questions
VECTOR ALGEBRA
BODY BOOKS PUBLICATION|Exercise EXERCISE|1 Videos
THREE DIMENSIONAL GEOMETRY
BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos
Similar Questions
Explore conceptually related problems
Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. Show that PQRS is a parallelogram.
Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. Find vec(PQ) and vec(SR) in terms of vec(AC) .
ABCD is square. P,Q,R,S are the mid points of the sides. If side of ABCD is 6cm. What is the area of PQRS
ABCD is square. P,Q,R,S are the mid points of the sides. If side of ABCD is 6cm. Calculate the perimeter of PQRS.
For any three vectors veca,vecb and vecc , and, prove that (veca+vecb)+vecc=veca+(vecb+vecc) .
Consider the vectors If veca is perpendicular to a vector vecc then projection of veca on vecc
With help of a suitable figure for any three vectors veca,vecb and vecc show that (veca+vecb)+vecc=veca+(vecb+vecc)
Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk . Find the projections of veca on vecb and vecb on veca .
Let the vectors veca,vecb,vecc denotes the sides of a triangle ABC. Prove that vecatimesvecb=vecbtimesvecc=vecctimesveca .