anybody interested
let a,b,c be three vectors such that they hav same mag.
if |a-b|2+|b-c|2+|c-a|2=27
then
a. a,b,c are coplanar
b. a,b,c represent orthogonal triad of vectors
c. a,b,c represents sides of a triangle (atleast in magnitude and direction)
d.the value of a.b+b.c+c.a is minimum in this case
(assume proper notation for vectors...:D)
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5 Answers
Manish Shankar
·2009-10-29 23:35:55
Is all the information here available
As a, b, c are equal in magnitude (suppose r), they will lie on a sphere of radius r (with centre O)
a-b, b-c, c-a can form the sides of any triangle.
So I cannot tell anything alone from these data..