Question

For three non zero vectors a, b and c prove that [a.b b.c c.a] = 0

Answer 1

[a.b b.c c.a] = 0

Step-by-step explanation:

Such questions can easily be proved with the help of examples, I am considering

a=i  b=j and c=k,  for the ease of calculation

a.b= i.j =0

b.c=j.k=0

c.a=k.i=0

so the ultimate value  [a.b b.c c.a] = 0