Home
Class 11
MATHS
Let veca vecb and vecc be three non-zero...

Let `veca vecb and vecc` be three non-zero vectors such that `veca + vecb + vecc = vec0 and lambda vecb xx veca xx veca + vecbxxvecc + vecc + veca = vec0` then find the value of `lambda`.

Text Solution

Verified by Experts

Clearly, `veca , vecb and vecc` respesent the sides of a tirangle,
`Rightarrow veca xx vecb =vecc xx veca `
`or veca xxvecb + vecc + vecb xx vecc xx veca = 3veca xx vecb`
`or 2vecb xx veca +vecb xx vecc + vecc xx veca = 0 Rightarrow lambda=2`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.3|18 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|247 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise JEE Previous Year (Multiple Question)|11 Videos
  • CONIC SECTIONS

    CENGAGE|Exercise Solved Examples And Exercises|1316 Videos
  • LIMITS AND DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|320 Videos

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 non-zero vectors such that veca + vecb + vecc=0 and m = veca.vecb + vecb.vecc + vecc.veca , then:

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

If veca, vecb and vecc 1 are three non-coplanar vectors, then (veca + vecb + vecc). [(veca + vecb) xx (veca + vecc)] equals

If veca, vecb and vecc 1 are three non-coplanar vectors, then (veca + vecb + vecc). [(veca + vecb) xx (veca + vecc)] equals

If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, veca xx vecb = veca xx vecc, a ne 0. then show that vecb = vecc.

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

if veca + vecb + vecc=0 , then show that veca xx vecb = vecb xx vecc = vecc xx veca .

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then: