Home
Class 12
MATHS
Consider the following quadrilateral ABC...

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`.

Promotional Banner

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 .