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Traces of a line

Statement. Line r passes through points A(0, 6, 5) and B(12, 2, -3). Find its traces with the horizontal plane (H) and with the vertical plane (V).

Step-by-step solution

  1. Draw A and B with both projections: A'-A'' and B'-B''.
  2. Join A' with B' to get the horizontal projection r' and A'' with B'' for the vertical one r''.
  3. Draw trace H: where r'' crosses the ground line, drop a perpendicular to r'. That point is H' = H''.
  4. Draw trace V: where r' crosses the ground line, raise a perpendicular to r''. That point is V' = V''.

Result

H(7.5, 3.5, 0) and V(18, 0, -7).

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