(a) Given two non-parallel vectors a and b, show on a diagram that any other vector r can be written as r = a +

(a) Given two non-parallel vectors a and b, show on a diagram that any other vector r can be written as r = αa + βb with constants α and β.

(b) Given three non-coplanar, non-parallel vectors a, b and c, show on a diagram that any other vector r can be written as r = αa + βb + γc with constants α, β and γ.