Home
Class 12
MATHS
If veca and vecb are mutually perpendicu...

If `veca` and `vecb` are mutually perpendicular unit vectors, `vecr`is a vector satisfying `vecr.veca =0, vecr.vecb=1` and `(vecr veca vecb)=1`, then `vecr` is:

A

`veca + (veca xx vecb)`

B

`vecb +(veca xx vecb)`

C

`veca + (veca xx vecb)`

D

`veca - vecb+(veca xx vecb)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Let veca, vecb and vecc are three mutually perpendicular unit vectors and a unit vector vecr satisfying the equation (vecb -vecc)xx(vecr xx veca)+(vecc -veca)xx(vecr xx vecb)+(veca-vecb)xx(vecr xx vecc)=0, then vecr is

If veca,vecb and vecc are three mutually perpendicular unit vectors then (vecr.veca)veca+(vecr.vecb)vecb+(vecr.vecc)vecc= (A) ([veca vecb vecc]vecr)/2 (B) vecr (C) 2[veca vecb vecc] (D) none of these

Let veca and vecb be two non- zero perpendicular vectors. A vector vecr satisfying the equation vecr xx vecb = veca can be

If veca and vecb are two given vectors and k is any scalar,then find the vector vecr satisfying vecr xx veca +k vecr=vecb .

If veca and vecb are two given vectors and k is any scalar,then find the vector vecr satisfying vecr xx veca +k vecr=vecb .

Find vector vecr if vecr.veca=m and vecrxxvecb=vecc, where veca.vecb!=0

If vecb is not perpendicular to vecc . Then find the vector vecr satisfying the equation vecr xx vecb = veca xx vecb and vecr. vecc=0

If vecb is not perpendicular to vecc . Then find the vector vecr satisfying the equation vecr xx vecb = veca xx vecb and vecr. vecc=0