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In which octant the point (-1, -5, -7) lies ?

  • A.1st
  • B.2nd
  • C.7th
  • D.8th

Answer: C

The point lies in the 7th octant.

The usual numbering of the octants by the signs of (x, y, z) is: I (+, +, +), II (-, +, +), III (-, -, +), IV (+, -, +), V (+, +, -), VI (-, +, -), VII (-, -, -) and VIII (+, -, -).

All three coordinates of (-1, -5, -7) are negative, so it lies in octant VII. The 1st octant has all coordinates positive, the 2nd has only x negative, and the 8th has y and z negative but x positive.

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