If a,b and c are vectors with magnitudes 2,3 and 4 respectively then the least upper bound of `|a - b|^(2) + |b - c|^(2 )+ |c-a|^(2)` among the given values is

If a,b and c are unit vectors, then the maximum value of |a-b|^(2)+|b-c|^(2)+|c-a|^(2) is?

The three vectors a, b and c with magnitude 3, 4 and 5 respectively and a+b+c=0, then the value of a.b+b.c+c.a is

The three vectors a, b and c with magnitude 3, 4 and 5 respectively and a+b+c=0, then the value of a.b+b.c+c.a is

The three vectors a, b and c with magnitude 3, 4 and 5 respectively and a+b+c=0, then the value of a.b+b.c+c.a is

If a+2b+3c=4, then find the least value of a^(2)+b^(2)+c^(2)

If a,b,c are the three vectors whose magnitudes are respectively 3,4,5 and a is perpendicular to b+c,b is perpendicular to c+a and c is perpendicular to a+b then show that |a+b+c|=5sqrt(2)

If a^(2) + b^(2) + c^(2) = 2(a-b-c)-3 , then the value of 4a - 3b + 5c is

If a+2b+3c=4, then find the least value of a^2+b^2+c^2dot