Question
Wed November 07, 2012 By:
 

if vector a,vector b,vector c,are unit vectorssuch that their sum is equal to 0,find the value of a.b vector+b.c vector+c.a vector

Expert Reply
Thu November 08, 2012
Here bold stands for vector and lets mag.a=a=1, mag.b=b=1, mag.c=c=1
Since all these are unit vectors and since their sum is zero, we have
(a+b+c).(a+b+c)=0.0=0
Now expanding the left hand side term by term we get
a2+ b2+ c2+2(ab+bc+ca)=0
or, ab+bc+ca=-3/2
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