Home
Class 12
MATHS
Let ABCD be a parallelogram such that ve...

Let ABCD be a parallelogram such that `vec AB = vec q,vec AD = vec p` and `/_BAD` be an acute angle. If `vec r` is the vector that coincides with the altitude directed from the vertex B to the side AD, then `vec r` is

A

`vecr=3vecq+(3(vecp.vecq))/(vecp.vecp)vecp`

B

`vecr =-vecq +(vecp.vecq)/(vecp.vecp)vecp`

C

`vecr = vecq -(vecp.vecq)/(vecp.vecp)vecp`

D

`vecb -((vecb.veca)/(veca.vecb))vecc`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p""a n d""/_B A D be an acute angle. If vec r is the vector that coincides with the altitude directed from the vertex B to the side AD, then vec r is given by (1) vec r=3 vec q-(3( vec pdot vec q))/(( vec pdot vec p)) vec p (2) vec r=- vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (3) vec r= vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (4) vec r=-3 vec q+(3( vec pdot vec q))/(( vec pdot vec p)) vec p

ABCD is a parallelogram . If vec(AB)=vec(a), vec(BC)=vec(b) , then what vec(BD) equal to ?

Given a parallelogram ABCD. If |vec AB|=a,|vec AD|=b&|vec AC|=c, then vec DB*vec AB has the value

The area of the parallelogram constructed on the vectors vec a=vec p+2vec q and vec b=2vec p+vec q as sides vec p,vec q are unit vectors.Find their area

If vec p xxvec q=vec r and vec p*vec q=c, then vec q is

ABCD is a quadrilateral with vec AB=vec a,vec AD=vec b and vec AC=2vec a+3vec b If its area is alpha xx the area of the parallelogram with AB and AD as adjacent sides,then alpha=

If vec P+ vec Q = vec R and |vec P| = |vec Q| = | vec R| , then angle between vec P and vec Q is

If vec P xx vec Q= vec R, vec Q xx vec R= vec P and vec R xx vec P = vec Q then

If vec a is a unit vector, vec a xxvec r = vec b, vec a * vec r = c, vec a * vec b = 0, then vec r is equal to