find direction cosines of a line parallel to z axis??
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Answered by
20
Parallel to Z - axis means , line makes 0° with z- axis , 90° with y - axis and 90° with x - axis.
we know,
l = cosα = cos90° = 0
m = cosβ = cos90° = 0
n = cosγ = cos0° = 1
We know, l , m and n are directions cosine of a line when, it follows
l² + m² + n² = 1
here, l = 0, m = 0, n = 1
0² + 0² + 1² = 1
Hence , direction cosines are 0,0,1
we know,
l = cosα = cos90° = 0
m = cosβ = cos90° = 0
n = cosγ = cos0° = 1
We know, l , m and n are directions cosine of a line when, it follows
l² + m² + n² = 1
here, l = 0, m = 0, n = 1
0² + 0² + 1² = 1
Hence , direction cosines are 0,0,1
Answered by
6
Answer:(0,0,1)
Step-by-step explanation:
A line parallel to z axis means that it makes an angle of 90,90,0 degrees with the x,y,z axes respectively.
So, as we know that direction cosines of a line are given by (cos A,cos B,cos C,) so in this case dc are (0,0,1) because A=B=90 degrees ,and C=0 degree.
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