Home
Class 12
MATHS
If vecA=(1,1,1) and vecC=(0,1,-1) are gi...

If `vecA=(1,1,1) and vecC=(0,1,-1)` are given vectors then find a vector `vecB` satisfying equations `vecAxxvecB=vecC and vecA.vecB=3`

Text Solution

Verified by Experts

The correct Answer is:
`5/3hatk + 2/3hatj + 2/3hatk`
Promotional Banner

Similar Questions

Explore conceptually related problems

If veca=(0,1,-1,) and vecc=(1,1,1) are given vectors then find a vector vecb satisfying vecaxxvecb+vecc=0 and veca.vecb=3

If veca = hati + hatj + hatk, vecc = hatj - hatk are given vectors, then find a vector vecb satisfying the equation veca xx vecb = vecc and veca. vecb =3.

Let veca=hatj-hatk and vecc=hati-hatj-hatk . Then the vector vecb satisfying vecaxxvecb+vecc=vec0 and veca.vecb=3 is

If veca, vecb, vecc are three non-coplanar vectors, then a vector vecr satisfying vecr.veca=vecr.vecb=vecr.vecc=1 , is

Given that vectors veca and vecb asre perpendicular to each other, find vector vecv in erms of veca and vecb satisfying the equations vecv.veca=0, vecc.vecb=1 and [vecv veca vecb]=1

If veca,vecb,vecc,vecd are four distinct vectors satisfying the conditions vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxecd then prove that veca.vecb+vecc.vecd!=veca.vecc+vecb.vecd

Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 and vecA. vecC=0. The vector vecA is parallel to

Vectors vecA and vecB satisfying the vector equation vecA+ vecB = veca, vecA xx vecB =vecb and vecA.veca=1 . Vectors and vecb are given vectosrs, are

Vectors vecA and vecB satisfying the vector equation vecA+ vecB = veca, vecA xx vecB =vecb and vecA.veca=1 . Vectors and vecb are given vectosrs, are