Let a , b , c be distinct non-negative numbers. If the vectors a i +a j +c k , i + k and…
Mathematics · JEE Advanced · NTA Exams — Vector Algebra
Let a, b, c be distinct non-negative numbers. If the vectors \(a \hat{i}+a \hat{j}+c \hat{k}, \hat{i}+\hat{k} \text { and } c \hat{i}+c \hat{j}+b \hat{k}\) lie in a plane, then
c is
c is
- the Arithmetic mean of a and b
- the Geometric mean of a and b
- the Harmonic mean of a and b
- equal to zero
Answer
(B) the Geometric mean of a and b
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