Question

Show that there is no line in space whose direction Angles are 30° 45° 60°

Answer 1

Answer:

Step-by-step explanation:

Given to show that there is no line in space whose direction Angles are 30° 45° 60°

Let a,b,c be the lines of direction of cos .  

Now we have the angles as 30, 45 and 60.

So a^2 + b^2 + c^2 = cos^2 30 + cos^2 45 + cos^2 60

                             =      3/4 + 1/2 + 1/4

                             = 3/2

So a line cannot have 30, 45 and 60 angles of direction.