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A line makes an angle of 45° with the x-axis and an… | StemPy Lab
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A line makes an angle of 45° with the x-axis and an angle of 45° with the y-axis. What angle does it make with the z-axis?
Mathematics
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High School (11–12)
Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry
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A line makes an angle of
45
∘
45^\circ
4
5
∘
with the
x
x
x
-axis and an angle of
45
∘
45^\circ
4
5
∘
with the
y
y
y
-axis. What angle does it make with the
z
z
z
-axis?
0
∘
0^\circ
0
∘
45
∘
45^\circ
4
5
∘
60
∘
60^\circ
6
0
∘
90
∘
90^\circ
9
0
∘
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← A student says: the line through the origin and the point (2, 2, 1) has direction cosines 2, 2 and 1. Her teacher says this is wrong. What is the mistake?
The direction ratios of a line are (a, b, c). A student multiplies all three by -2 and works out new direction cosines. How are the new direction cosines related to the old ones (l, m, n)? →
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