Home
Class 11
PHYSICS
Find the scalar and vector products of t...

Find the scalar and vector products of two vectors. `a = (3hati – 4hatj + 5hatk) and b = (– 2hati + hatj – 3hatk )`

Text Solution

Verified by Experts

`a.b=(3hati-4hatj+5hatk).(-2hati+hatj-3hatk)`
`=-6-4-15`
`=-25`
`axxb=|(hati,hatj,hatk),(3,-4,5),(-2,1,-3)|=7hati-hatj-5hatk`
Note `bxxa=-7hati+hatj+5hatk`
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT BANGLISH|Exercise EXERCISES|26 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT BANGLISH|Exercise EXERCISES (TRUE OR FALSE)|3 Videos
  • OSCILLATIONS

    NCERT BANGLISH|Exercise Additional Exercises|6 Videos
  • THERMAL PROPERTIME OF MATTER

    NCERT BANGLISH|Exercise EXERCISES|30 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the two vectors vecA = hati + 2hatj + 3hatk and vecB = 2hati+ hatj + 4hatk .

Given two vectors veca=-hati + 3hatj + hatk and vecb =- 3hati + hatj + hatk find |vec a xx vec b|

Find a unit vector which is perpendicular to both vecA = 3hati + hatj + 2hatk and vecB = 2hati - 2hatj + 4hatk .

Given two vectors veca=-hati + 2hatj + 2hatk and vecb =- 2hati + hatj + 2hatk find |vec a xx vec b|

Find the value of lambda if the vectors veca and vecb are perpendicular. where, veca = 2hati+lambda hatj + hatk and vecb = hati-2 hatj + 3hatk

Find the modulus of the Vector 1/3 (2hati - 2hatj +hatk) is

Find the vector equation of the following plane in scalar product from vecr.= (hati - hatj) + lambda(hati + 2hatj - hatk) + mu (-hati + hatj + 2hatk) ,

Find the unit vector in the direction of the sum of vectors , veca=2hati+2hatj-5hatkandvecb=2hati+hatj+3hatk .

Find the unit vector perpendicular to both the vectors vecA=(2hati+2hatj+2hatk) and vecB=(hati-hatj+2hatk) .