Let O be the origin and P be the point at a distance 3 units from origin. If d.x.s' of OP are 1,– 2,

Engineering

Mathematics

Direction Cosines and Direction Ratio

Question

Let O be the origin and P be the point at a distance 3 units from origin. If d.x.s' of OP are 1,– 2,–2, then coordinates of P is given by

3,−6,−6

1,−2,−2

$\frac{1}{9}, - \frac{2}{9}, - \frac{2}{9}$

$\frac{1}{3}, - \frac{2}{3}, - \frac{2}{3}$

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r = 3,directions $(ℓ, m, n) = (\frac{1}{3}, \frac{- 2}{3}, \frac{- 2}{3})$

∴ P(x,y,z)

be coordinates of point.

Therefore

(x - 0) = \frac{1}{3} \times 3, y - 0 = \frac{- 2}{3} \times 3, z - 0 = \frac{- 2}{3} \times 3

(x,y,z) = (1,–2,–2)