Question

Find direction cosines of line equally inclined to coordinate axes

Answer 1

Step-by-step explanation:

If a line makes angles α,β,ɣ with the axes we have α = β = ɣ . cos α = cos β = cos ɣ or l = m = n . ∴ ( l, m, n)(-l , -m , -n ) represent the d.c's of the same line. Since there are four different groups of signs, so there can be four different lines which makes equal angles with axes