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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:The value of θ ∈ (0,π2) for which the vectors aija=(sinθ)i^=(cosθ)j^ and bijkb→=i^-3j^+2k^ are perpendicular, equaal to - Mathematics

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Question

Choose the correct alternative:
The value of θ ∈ `(0, pi/2)` for which the vectors `"a" = (sin theta)hat"i" = (cos theta)hat"j"` and `vec"b" = hat"i" - sqrt(3)hat"j" + 2hat"k"` are perpendicular, equaal to

Options

  • `pi/3`

  • `pi/6`

  • `pi/4`

  • `pi/2`

MCQ
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Solution

`pi/3`

shaalaa.com
Product of Vectors
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Chapter 8: Vector Algebra - Exercise 8.5 [Page 81]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 8 Vector Algebra
Exercise 8.5 | Q 17 | Page 81

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