![57. If vectors a, b, c are non-coplanor and l, m, n are distinct scalars, then [(la + mb + nc) (lb + MC + na) (lc + ma + nb)] = 57. If vectors a, b, c are non-coplanor and l, m, n are distinct scalars, then [(la + mb + nc) (lb + MC + na) (lc + ma + nb)] =](https://toppr-doubts-media.s3.amazonaws.com/images/962467/913c4f25-f9e2-432a-aec0-fe0a7c35afd5.jpg)
57. If vectors a, b, c are non-coplanor and l, m, n are distinct scalars, then [(la + mb + nc) (lb + MC + na) (lc + ma + nb)] =
![The AM between m and n, and GM between a and b are equal to (ma+nb)/(m+n). Find m,n in terms of a,b. - YouTube The AM between m and n, and GM between a and b are equal to (ma+nb)/(m+n). Find m,n in terms of a,b. - YouTube](https://i.ytimg.com/vi/pGy5BNZRzCI/maxresdefault.jpg)
The AM between m and n, and GM between a and b are equal to (ma+nb)/(m+n). Find m,n in terms of a,b. - YouTube
![If ( frac { m a + n b + p c + q d } { m a - n b + p c - q d } = frac { m a + n b - p c - q d } { m a - n b - p c + q d } ) ( mathrm { t } b c: a d = m q: p n ) If ( frac { m a + n b + p c + q d } { m a - n b + p c - q d } = frac { m a + n b - p c - q d } { m a - n b - p c + q d } ) ( mathrm { t } b c: a d = m q: p n )](https://toppr-doubts-media.s3.amazonaws.com/images/6588575/54ed5953-e80a-4dcd-877b-e7a42660b97c.jpg)
If ( frac { m a + n b + p c + q d } { m a - n b + p c - q d } = frac { m a + n b - p c - q d } { m a - n b - p c + q d } ) ( mathrm { t } b c: a d = m q: p n )
![BOSTON, MA, USA, January 2019 - New Balance NB 574 athletic shoes on studio background. New Balance Athletics one of the world's major sports footwear manufacturers. Illustrative editorial Stock Photo | Adobe Stock BOSTON, MA, USA, January 2019 - New Balance NB 574 athletic shoes on studio background. New Balance Athletics one of the world's major sports footwear manufacturers. Illustrative editorial Stock Photo | Adobe Stock](https://as1.ftcdn.net/v2/jpg/03/37/23/40/1000_F_337234090_5aMTBVRcOL5XbPN3iPoKqT1uRSYjJfmF.jpg)
BOSTON, MA, USA, January 2019 - New Balance NB 574 athletic shoes on studio background. New Balance Athletics one of the world's major sports footwear manufacturers. Illustrative editorial Stock Photo | Adobe Stock
![The arithmetic mean between m and n and the geometric mean between a and b are each equal to dfrac{ma+nb}{m+n}: m and n in terms of a and b. The arithmetic mean between m and n and the geometric mean between a and b are each equal to dfrac{ma+nb}{m+n}: m and n in terms of a and b.](https://haygot.s3.amazonaws.com/questions/1607947_1746434_ans_bca482c0e5c442e59211c3ad362f6900.png)