Mathematics, 25.02.2020 18:32 alsiedlaw
20. Find an equation for the plane parallel to 3x − 3y + 2x = 5 and through the point (4, 3, 5). 21. Find an equation for the plane orthogonal to the line x(t) = (2 + t, 3 − 2t, 1 − t) and through (1, 0, −3).
Answers: 1
? This plane has normal vector (3, -3, 2), so the equation of the plane parallel to this one that goes through (4, 3, 5) is
is parallel to the normal vector to the plane, so we can simply use it as the normal vector. This tangent vector is
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20. Find an equation for the plane parallel to 3x − 3y + 2x = 5 and through the point (4, 3, 5). 21....
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