Progression (Sequence and Series)Hard
Question
Let a, b and c be distinct non-negative numbers. If the vectors 
and 
lie in a plane, then c is
and lie in a plane, then c isOptions
A.the Geometric Mean of a and b
B.the Arithmetic Mean of a and b
C.equal to zero
D.the Harmonic Mean of a and b
Solution
Vector and
= 0 ⇒ c2 = ab
∴ a, b, c are in G.P.
and = 0 ⇒ c2 = ab∴ a, b, c are in G.P.
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