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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If aijkbijkcijka→=2i^+3j^-k^,b→=i^+2j^-5k^,c→=3i^+5j^-k^, then a vector perpendicular to aa→ and lies in the plane containing bb→ and cc→ is

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Question

Choose the correct alternative:

If `vec"a" = 2hat"i" + 3hat"j" - hat"k", vec"b" = hat"i" + 2hat"j" - 5hat"k", vec"c" = 3hat"i" + 5hat"j" - hat"k"`, then a vector perpendicular to `vec"a"` and lies in the plane containing `vec"b"` and `vec"c"` is 

Options

  • `-17hat"i" + 21hat"j" - 97hat"k"`

  • `7hat"i"+  21hat"j"  123hat"k"`

  • `-17hat"i" - 21hat"j" + 97hat"k"`

  • `-17hat"i" - 21hat"j" - 97hat"k"`

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Solution

`-17hat"i" - 21hat"j" - 97hat"k"`

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Different Forms of Equation of a Plane
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Chapter 6: Applications of Vector Algebra - Exercise 6.10 [Page 277]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 6 Applications of Vector Algebra
Exercise 6.10 | Q 14 | Page 277

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