Let a,b ,c be distinct non-negative numbers. If the vectors ai + aj + ck, i + k and ci + cj + bk lie in a plane, then c is
(a) the Arithmetic Mean of a and b
(b) the Geometric Mean of a and b
(c) the Harmonic Mean of a and b
(d) equal to zero
Correct option: (b) the Geometric Mean of a and b
Explanation:
Since, three vectors are coplanar.