Find an equation of the plane The plane that passes through

Find an equation of the plane.
The plane that passes through
(8, 0, ?3)
and contains the line
x = 5 ? 3t, y = 2 + 5t, z = 6 + 4t

Solution

take two points on line t=0 5,2,6 t=1 2,7,10 eqn passing through 3 points ax+by+cz+1=0 substituting points and solving a=-37/269 b=-15/269 c=-9/269 so eqn of plane is 37x+15y+9z=269
Find an equation of the plane. The plane that passes through (8, 0, ?3) and contains the line x = 5 ? 3t, y = 2 + 5t, z = 6 + 4tSolution take two points on line

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