Home
Class 11
MATHS
If veca satisfies vecaxx(hati+2hatj+hatk...

If `veca` satisfies `vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca` is equal to

A

`lambdahati+(2lambda-1)hatj+lambdahatk,lambda in R`

B

`lambdahati+(1-2lambda)hatj+lambdahatk,lambda in R`

C

`lambdahati+(2lambda+1)hatj+lambdahatk,lambda in R`

D

`lambdahati+(1+2lambda)hatj+lambdahatk,lambda in R`

Text Solution

Verified by Experts

The correct Answer is:
c
`vecaxx(hati + 2hatj + hatk) = hati-hatk= (hatjxx (hati + 2hatj +hatk))`
`or (veca- hatj) xx (hati + 2hatj +hatk) = vec0`
`or veca - hatj = lambda(hati + 2hatj +hatk)`
`or veca=lambdahati+ (2lambda+1) hatj + lambdahatk , lambda in R`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.1|18 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.2|15 Videos

  • CONIC SECTIONS

    CENGAGE|Exercise Solved Examples And Exercises|1255 Videos

  • LIMITS AND DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|288 Videos

Similar Questions

Explore conceptually related problems

If veca=3hati-2hatj+hatk and vecb=2hati-4hatj+hatk then find |veca-2vecb|.

If veca=2hati+hatj-hatk, vecb= -hati+2hatj+hatk, vecc=-hati+2hatj-hatk then the unit vector perpendicular to both veca+vecb and vecb +vec c is :

If veca.veci=veca.(hati+hatj)=veca.(hati+hatj+hatk) . Then find the unit vector veca .

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

If the sides of an angle are given by vectors veca=hati-2hatj+2hatk and vecb=2hati+hatj+2hatk , then find the internal bisector of the angle.

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk , find the unit vector in the direction of the vector veca+vecb .

Given veca = 2hati + hatj - 8 hatk and vecb = hati + 3hatj - 4hatk then |veca + vecb| = ……………………… .

If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.vecc = 2 and veca xx vecc = vecb