Write the sum of intercepts cut off by the plane on the three axes.

The given equation when written in Cartesian form becomes

⇒ 2x + y - z - 5 = 0

⇒ 2x + y - z = 5

Divide throughout by 5 we get

⇒

⇒

∴ x intercept = a = 5/2

y intercept = b = 1/5

z intercept = c = - 1/5

a + b + c =

∴ Sum of intercepts = 5/2.