Let a, b and c be distinct non-negative numbers. If the vectors a \hat{i}+a \hat{j}+c \hat{k}, \hat{i}+\hat{k}, c \hat{i}+c \hat{j}+b \hat{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 II 2010 Mathematics Paper

Question : 90 of 120

Marks: +1, -0

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

∧

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

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