Question

Let vector a=i+j+k, vector b=i and vector c=c₁i+c₂j+c₃k, then

(i) Let c₁=1 and c₂=2, find c₃ which makes vector(a,b) and vector c coplanar.

(ii) If c₂=-1 and c₃=1, show that no value of c₁ can make vector(a,b) and vector c coplanar.

Answer 1

or No value of c₁ can make vector(a,b,c) coplanar