Question

If a bar =mi+2j-3k and b bar=3i-2j+nk are colliner,then(m,n)=

Answer 1

Answer:

(m, n) = ( – 3 , – 3 )

Step-by-step explanation:

Since a bar and b bar are collinear

Therefore Ai / Bi = Aj / Bj = Ak / Bk

Ai / Bi = m / 3 – ( 1 )

Aj / Bj = 2 / – 2 = – 1 – ( 2 )

Ak / Bk = –3 / n – ( 3 )

On equating ( 1 ) and ( 2 )

we get

m / 3 = – 1

m = –3

and

on equating ( 2 ) and ( 3 )

we get

–3 / n = – 1

n = – 3 / – 1

n = 3

Therefore (m, n) = ( – 3 , – 3 )