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Select the correct option from the given alternatives: Let a, b, c be distinct non-negative numbers. If the vectors aiajckikandcicjbkai^+aj^+ck^,i^+k^ and ci^+cj^+bk^ lie in a plane, then c is - Mathematics and Statistics

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MCQ

Select the correct option from the given alternatives:

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"  "and"  "c"hat"i" + "c"hat"j" + "b"hat"k"` lie in a plane, then c is

Options

  • the arithmetic mean of a and b

  • the geometric mean of a and b

  • the harmonic man of a and b

  • 0

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Solution

the geometric mean of a and b

Concept: Vectors and Their Types
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