Let a, b and c be the distinct non-negative numbers. If the vectors \stackrel{\^}{{i}}+{b} \stackrel{\^}{{j}}+{{k^{\^}}}, {{i^{\^}}}+{b} {{j^{\^}}}, {a} {{i^{\^}}}+{c}^{2} \stackrel{\^}{{j}}+{c} \stackrel{\^}{{k}}lie on a plane, then which one of the following is correct

Correct Answer is : c is the geometric mean of a and b

c is the arithmetic mean of a and b

c is the geometric mean of a and b

c is the harmonic mean of a and b

UPSC NDA Math Model Paper 10

Question : 78 of 120

Marks: +1, -0

Let a, b and c be the distinct non-negative numbers. If the vectors

+c2

lie on a plane, then which one of the following is correct

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