Question

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°​

Answer 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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