Let a, b and c be distinct non-negative numbers. If the vector a \hat{i}+a \hat{j}+c \hat{k}, \hat{i}+\hat{k} and c \hat{i}+c \hat{j}+b \hat{k} lie in a plane then {\c} is equal to

Correct Answer is : The Geometric Mean of a and b

NIMCET 2022 Question Paper with solutions

Question : 23 of 120

Marks: +1, -0

Let

a, b

and

c

be distinct non-negative numbers. If the vector

a {i}↖{∧}+a {j}↖{∧}+c {k}↖{∧}, {i}↖{∧}+{k}↖{∧}

and

c {i}↖{∧}+c {j}↖{∧}+b {k}↖{∧}

lie in a plane then

{\c}

is equal to

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