Question

Show that the two lines with equations (x, y, z) = (-1, 3, -4) + t(1,...

  1. Show that the two lines with equations (x, y, z) = (-1, 3, -4) + t(1, -1, 2) and (x, y, z) = (5, -3, 2) + s(-2, 2, 2) are perpendicular. Determine how the two lines interact.
  2. Find the point of intersection of the line (x, y, z) = (1, -2, 1) + t(4, -3, -2) and the plane x – 2y + 3z = -8.

Homework Answers

Answer #1

Two lines are perpendicular if their sum of product of direction cosines is zero.

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