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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If the projection of ijk5i^- j^-3k^ on the vector ijki^+3j^+λk^ is same as the projection of ijki^+3j^+λk^ on ijk5i^- j^-3k^, then λ is equal to

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Question

Choose the correct alternative:
If the projection of `5hat"i" -  hat"j" - 3hat"k"` on the vector `hat"i" + 3hat"j" + lambdahat"k"` is same as the projection of `hat"i" + 3hat"j" + lambdahat"k"` on `5hat"i" -  hat"j" - 3hat"k"`, then λ is equal to

Options

  • ± 4

  • ± 3

  • ± 5

  • ± 1

MCQ
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Solution

± 5

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Chapter 8: Vector Algebra - Exercise 8.5 [Page 82]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 8 Vector Algebra
Exercise 8.5 | Q 21 | Page 82
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