Find the distance between the point and the line/plane
a. (-1,4);x-3y+2=0
b. (-1,-1,2);2x+5y-6z=4
Distance between point (x1, y1) and the line ax + by + c = 0 is (ax1 + by1 + c)/
Distance between point (–1, 4) and the line x – 3y + 2 = 0 is |(–1 – 3 × 4 + 2)/ |
= |–11/ |
= 3.4785
Distance between point (x1, y1, z1) and the plane ax + by + cz + d = 0 is (ax1 + by1 + cz1)/ )
Distance between point (–1, –1, 2) and the plane 2x + 5y –6z – 4 = 0 is |(2(–1) + 5(–1) – 6 × 2)/ |
= |–19/ |
= 2.3567
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