A line makes 45° angle with positive X-axis
and makes equal angles with positive Y,
Z-axes respectively. The sum of the three
angles which the line makes with positive X,
Y, Z-axes is
180°
150°
165°
135°
Answers
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1
Answer:
ANSWER
Given , A line make a angle α,β,χ, with x , y , z axis , then
let length of line be ∣r∣ x , y , z be the intercept mode by line on the three coordinates axis
So cosα=
r
x
cosβ=
r
y
cosχ=
r
z
cos
2
α+cos
2
β+cos
2
χ=
r
2
r
2
cos
2
α+cos
2
β+cos
2
χ=1
1−sin
2
α+1−sin
2
β+1−sin
2
χ=1
∴sin
2
α+sin
2
β+sin
2
χ=2
so answer is 2
Step-by-step explanation:
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