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, b and c are three vectors qith magnitudes 1, 1 and 2 respectively and axx(axxc)+b=0_(') then the angle between a and c is

Let bar(a) , bar(b) and bar(c) be vectors with magnitudes 3,4 and 5 respectively and bar(a)+bar(b)+bar(c)=0 then the value of bar(a).bar(b)+bar(b).bar(c)+bar(c).bar(a) is

5.If a.b =b .c=c.a=0 then the value of [a,b,c] is

Three vector a, b and c are such that abs(a)=1, abs(b)=2, abs(c)=4" and "a+b+c=0 . Then the value of 4a.b+3b.c+3c.a is equal to

If the magnitudes of the vectors A, B and C are 6, 8, 10 units respectively and if A + B = C, then the angle between A and C is -

The magnitude of vectors A, B and C are 3, 4 and 5 units respectively. If A+ B =C , the angle between A and B is

The magnitude of vectors A, B and C are 3 4 and uints respectively. If A+ B =C , the angle between A and B is

Let vec a,vec b and vec c be three vectors having magnitudes 1,5 and 3, respectively,such that the angel between vec a and vec b is theta and vec a xx(vec a xxvec b)=c. Then tan theta is equal to a 0 b.2/3 c.3/5 d.3/4