Home
Class 12
MATHS
Let veca and vecb be unit vectors that a...

Let `veca and vecb` be unit vectors that are perpendicular to each other l. then `[veca+ (veca xx vecb) vecb + (veca xx vecb) veca xx vecb]` will always be equal to

A

1

B

zero

C

`-1`

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
`[veca+(veca xx vecb)vecb+(veca xx vecb) veca xx vecb]`
`=veca +(veca xx vecb).vecb+(veca xx vecb) xx (veca xx vecb)`
`=veca +(veca xx vecb).vecb xx (veca xx vecb)`
`=veca.vecb xx (veca xx vecb)`
`=(veca xx vecb).(veca xx vecb)`
=1
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise JEE Previous Year|12 Videos

  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos

Similar Questions

Explore conceptually related problems

If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vecc) is equal to

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt(3) , then the value of (2veca+5vecb) . (3veca+vecb+vecaxxvecb)=

veca and vecb are two unit vectors that are mutually perpendicular. A unit vector that if equally inclined to veca, vecb and veca xxvecb is equal to

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt3 . Then find the value of (2veca+5vecb).(3veca+vecb+vecaxxvecb)

If veca and vecb are two unit vectors inclined at an angle pi//3 then { veca xx (vecb+veca xx vecb)} .vecb is equal to

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 vectors, such that |veca xx vecb|=2 , then find the value of [veca vecb veca xx vecb]

If veca , vecb and vecc are non- coplanar vectors and veca xx vecc is perpendicular to veca xx (vecb xx vecc) , then the value of [ veca xx ( vecb xx vecc)] xx vecc is equal to

Let veca, vecb and vecc are three unit vectors in a plane such that they are equally inclined to each other, then the value of (veca xx vecb).(vecb xx vecc) + (vecb xx vecc). (vecc xx veca)+(vecc xx veca). (veca xx vecb) can be