Question 4 (OR 1 st question)
Find the acute angle which the line with direction cosines 1/√3, 1/√6, n makes with positive direction of z-axis.
Last updated at Oct. 1, 2019 by Teachoo
Question 4 (OR 1 st question)
Find the acute angle which the line with direction cosines 1/√3, 1/√6, n makes with positive direction of z-axis.
Transcript
Question 4 (OR 1st question) Find the acute angle which the line with direction cosines 1/โ3, 1/โ6 , n makes with positive direction of z-axis. Given ๐ = 1/โ3 ๐ = 1/โ6 ๐ = ? We need to find n We know that ๐^2+๐^2+๐^2=1 (1/โ3)^2+(1/โ6)^2+๐^2=1 1/3+1/6+ ๐^2=1 (2 + 1)/6+ ๐^2=1 3/6+ ๐^2=1 1/2+ ๐^2=1 ๐^2=1 โ 1/2 ๐^2=1/2 n=ยฑโ(1/2) n=ยฑ1/โ2 Since we need the angle with positive direction of x-axis, We take positive value of n n = 1/โ2 We know that cos ๐พ = n cos ๐พ = 1/โ2 So, ๐พ = 45ยฐ ๐ธ = ๐ /๐ So, line makes ๐/4 angle with the positive direction of z-axis
CBSE Class 12 Sample Paper for 2019 Boards
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CBSE Class 12 Sample Paper for 2019 Boards
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