# Find the acute an

If (l, m, n) are direction cosines of a line then we know that,

l2 + m2 + n2 = 1

Given direction cosines

So,

As, we need to find an acute angle so we will take positive value of n, hence

γ = 45˚

OR

Given line,

If, l, m, n are direction cosines of a line and a, b, c are its direction ratio’s then we know that,

respectively.

Direction ratios of given line = 2, -1, 2

Therefore, the direction cosines of the given line are

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