Home
Class 11
MATHS
if the vectors vecc, veca = xhati +yhatj...

if the vectors `vecc, veca = xhati +yhatj + zhatk and vecb = hatj` are such that `veca , vecc and vecb` from a right -handed system, then find `vecc`.

Text Solution

Verified by Experts

Since `veca ,vecc and vecb` form a right - handed system,
`vecc = vecb xx veca`
`= hatj xx (xhati + y hatj + z hatk) `
= - x hatk + zhati = z hati - x hatk`
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 JEE Previous Year (Single Question)|28 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.1|18 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=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.vecc = 2 and veca xx vecc = vecb

If veca=xhati + y hatj + zhatk, vecb= yhati + zhatj + xhatk and vecc= zhati + xhatj+ yhatk ,, " then " vecaxx (vecbxx vecc) is

Let veca=xhati+12hatj-hatk,vecb=2hati+2xhatj+hatkand vecc=hati+hatk . If the ordered set [vecb vecc veca] is left handed, then find the value of x.

Given veca=xhati+yhatj+2hatk,vecb=hati-hatj+hatk , vecc=hati+2hatj, veca botvecb,veca.vecc=4 then find the value of [veca vecb vecc]

If veca' = hati + hatj, vecb'= hati - hatj + 2hatk nad vecc' = 2hati - hatj + hatk then the altitude of the parallelepiped formed by the vectors, veca, vecb and vecc having baswe formed by vecb and vecc is ( where veca' is recipocal vector veca )

veca=2hati+hatj+2hatk, vecb=hati-hatj+hatk and non zero vector vecc are such that (veca xx vecb) xx vecc = veca xx (vecb xx vecc) . Then vector vecc may be given as

Three vectors veca,vecb,vecc are such that veca xx vecb=4(veca xx vecc) and |veca|=|vecb|=1 and |vecc|=1/4 . If the angle between vecb and vecc is pi/3 then vecb is

for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca) = 2 veca.vecb xx vecc .