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Select the correct option from the given alternatives: Let α, β, γ be distinct real numbers. The points with position vectors ijkijkijkαi^+βj^+γk^, βi^+γj^+αk^, γi^+αj^+βk^ - Mathematics and Statistics

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Question

Select the correct option from the given alternatives:

Let α, β, γ be distinct real numbers. The points with position vectors `alphahat"i" + betahat"j" + gammahat"k",  betahat"i" + gammahat"j" + alphahat"k",   gammahat"i" + alphahat"j" + betahat"k"`

Options

  • are collinear

  • form an equilateral triangle

  • form a scalene triangle

  • form a right angled triangle

MCQ
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Solution

form an equilateral triangle

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Chapter 5: Vectors - Miscellaneous exercise 5 [Page 188]

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