# Calculus grade 12

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7. Where does the line r = (1, 2, -5) + t (2, -3, 1) meet the plane 2x + 5y - 3z = 6?

• Calculus grade 12 -

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, 2-3t, -5+t)

Substitute the values of x,y and z of P into the equation of the plane and solve for t.

• Calculus grade 8 -

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