Home
Class 12
MATHS
If veca+2vecb+3vecc, 2veca+vecb+3vecc, 2...

If `veca+2vecb+3vecc, 2veca+vecb+3vecc, 2vec+5veb-vecc and veca-vecb-vecc` be the positions vectors A,B,C and D respectively, prove that `vec(AB) and vec(CD)` are parallel. Is ABCD a parallelogram?

Promotional Banner

Similar Questions

Explore conceptually related problems

If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc + vecc xx veca=

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

Show that the vectors 2veca-vecb+3vecc, veca+vecb-2vecc and veca+vecb-3vecc are non-coplanar vectors (where veca, vecb, vecc are non-coplanar vectors).

If veca.vecb=veca.vecc, vecaxxvecb=vecaxxvecc and veca!=vec0, then prove that vecb=vecc.

Prove that the three points veca-2vecb+3vecc, vec(2a)+3vecb-4vecc and -7vecb+10vecc are collinear

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc) , where veca, vecb and vecc are any three vectors such that veca.vecb ne 0, vecb.vecc ne 0 , then veca and vecc are:

For non zero vectors veca,vecb, vecc |(vecaxxvecb).vec|=|veca||vecb||vecc| holds iff

If veca, vecb, vecc are three vectors such that veca + vecb+ vecc =0 and |veca| =5, |vecb|=12.|vecc|=13, then find vecavecb+vecb vec c + vec c veca