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Determine a→×b→, given anda→=2i^+3j^andb→=3i^+5j^. - Physics

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Question

Determine `veca xx vecb`, given `veca = 2hati + 3hatj and vecb = 3hati + 5hatj`.

Numerical

Solution

Using determinant for vectors in two dimensions,

`veca xx vecb = |(hati,hatj),(a_x,a_y),(b_x,b_y)| = |(hati,hatj),(2,3),(3,5)|`

`= [(2xx5) - (3xx3)]hatk = (10 - 9)hatk = hatk`

`veca xx vecb` gives `hatk`

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Chapter 2: Mathematical Methods - Exercises [Page 29]

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Balbharati Physics [English] 11 Standard Maharashtra State Board
Chapter 2 Mathematical Methods
Exercises | Q 3. (i) | Page 29
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