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Find the direction cosines of the vector i^+2j^+3k^. - Mathematics

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Question

Find the direction cosines of the vector `hati + 2hatj + 3hatk`.

Sum

Solution

Let `veca = hati + 2hatj + 3hatk`

`therefore |veca| = sqrt(1^2 + 2^2 + 3^2) `

`= sqrt(1 + 4 + 9)`

`= sqrt14`

Hence, the direction cosines of `veca` are `(1/sqrt14, 2/sqrt14, 3/sqrt14)`.

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Chapter 10: Vector Algebra - Exercise 10.2 [Page 440]

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NCERT Mathematics [English] Class 12
Chapter 10 Vector Algebra
Exercise 10.2 | Q 12. | Page 440

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