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

Line of Greatest Slope

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

1, - 2, - 2

3, - 6, - 6

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

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

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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 .

t h e r e f o r e (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)

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