Question

A/y-z=b/z-x=c/x-y then ax+by+cz

Answer 1

Answer:

0

Step-by-step explanation:

A/y-z=b/z-x=c/x-y = k

a/y - z = k ; a = k ( y - z )

b/z - x = k ; b = k ( z - x)

c/x - y = k ; c = k ( x - y )

now....

a + b + c = k( y - z )+k( z - x)+k( x - y )

a + b + c = k [ (y - z ) +( z - x) +( x - y ) ]

ax + by + cz = xk(y-z)+yk(z-x)+zk(x - y)

ax+ by+ cz= k [x(y-z )+y( z - x) + z(x-y)]

ax + by + cz = k ( xy - xz + yz - yx + zx - zy )

ax + by + cz = k (0)

ax + by + cz = 0