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The area of the parallelogram whose adjacent sides are iki^+k^ and ijk2i^+j^+k^ is ______. - Mathematics

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Question

The area of the parallelogram whose adjacent sides are `hat"i" + hat"k"` and `2hat"i" + hat"j" + hat"k"` is ______.

Options

  • `sqrt(2)`

  • `sqrt(3)`

  • 3

  • 4

MCQ
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Solution

The area of the parallelogram whose adjacent sides are `hat"i" + hat"k"` and `2hat"i" + hat"j" + hat"k"` is `sqrt(3)`.

Explanation:

Area of the parallelogram whose adjacent sides are `vec"a"` and `vec"b"` is `|vec"a" xx vec"b"|`.

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Chapter 10: Vector Algebra - Solved Examples [Page 213]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 10 Vector Algebra
Solved Examples | Q 15 | Page 213
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