Example 1
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 1 If a line makes angle 90°, 60° and 30° with the positive direction of x, y and z-axis respectively, find its direction cosines. Direction cosines of a line making angle 𝛼 with x- axis, 𝛽 with y- axis and 𝛾 with z – axis are l, m, n. l = cos 𝛼, m = cos 𝛽 , n = cos 𝛾 Here, 𝛼 = 90° , 𝛽 = 60° , 𝛾 = cos 30° So, direction cosines of the line are l = cos 90° , m = cos60° , n = cos 30° l = 0 , m = 12 , n = 32 Therefore, direction cosines are 0, 𝟏𝟐, 𝟑𝟐
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Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.