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in Three Dimensional Geometry by (28.9k points)
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Consider the point (-1, -2, -3).

  1. In which octant, the above point lies.
  2. Find the direction cosines of the line joining (-1, -2, -3) and (3, 4, 5).
  3. If P is any point such that OP = \(\sqrt{50}\) and direction cosines of OP are \(\frac{3}{\sqrt{50}}, \frac{4}{\sqrt{50}}\, and \, \frac{5}{\sqrt{50}}\), then find the co - ordinate of P.

1 Answer

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by (28.2k points)
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Best answer

1. The point lies in the octant X’OY’Z’.

2. Direction ratios of the line joining (-1, -2, -3) and (3, 4, 5) are (3 + 1), (4 + 2), (5 + 3) ⇒ 4, 6, 8 ⇒ 2, 3, 4.

Therefore direction cosines are

3. Given, OP = \(\sqrt{50}\)

Therefore the point is (3, 4, 5).

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