1. Math
  2. Advanced Math
  3. 4 the distance from the point p1 to the line...

Question: 4 the distance from the point p1 to the line...

Question details

4. The distance from the point P(1,) to the line ax +by+c0 is defined to be the shortest distance between the point P and the line (a) Show that the distance from P( to the line az+byc 0 is given by Hint: Heres one approach. Show that the vector n (a, b) is orthog- onal to the line. Draw the line and the point P, pick a new point Q on the line, and draw the vector n-(a, b) on the line after verifying n is orthogonal to the line. Projections may come in handy. (b) Use the formula from the previous part to find the distance from the point (-2,3) to the line 3r-4y + 5 0. Illustrate with a sketch.
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution