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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the direction cosines and direction ratios for the following vector jj^

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Question

Find the direction cosines and direction ratios for the following vector

`hat"j"`

Sum
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Solution

`hat"j" = 0hat"i" + hat"j" + 0hat"k"`

The direction ratios of the vector `hat"j"` are (0, 1, 0)

The direction cosines of the vector `hat"j"` are

`0/sqrt(0^2 + 1^2 + 0^2), 1/sqrt(0^2 + 1^2 + 0^2), 0/sqrt(0^2 + 1^2 + 0^2)`

`0/1, 1/1, 0/1`

(0, 1, 0)

Direction ratios = (0, 1, 0)

Direction cosines = (0, 1, 0)

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Chapter 8: Vector Algebra - Exercise 8.2 [Page 68]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 8 Vector Algebra
Exercise 8.2 | Q 3. (iii) | Page 68

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