Calculus grade 12
posted by j .
7. Where does the line r = (1, 2, 5) + t (2, 3, 1) meet the plane 2x + 5y  3z = 6?

7. Where does the line r = (1, 2, 5) + t (2, 3, 1) meet the plane 2x + 5y  3z = 6?
Let the intersection point be P on L such that
P(1+2t, 23t, 5+t)
Substitute the values of x,y and z of P into the equation of the plane and solve for t. 
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