Suppose you need to know the equation of the tangent plane to a surface, S, at the point, P(2,1,3). You don't have have an equation for S, but you know the curves,
r₁ (t) = < 2+3t , 1 t² , 3 - 4t + t²>
r₂ (u) = <1+u², 2u³ - 1, 2u + 1>
both lie on S. Find an equation of the tangent plane at P.
i already dervied r1(t) and r2(u)
but im not sure what the next step is.
r₁ (t) = < 2+3t , 1 t² , 3 - 4t + t²>
r₂ (u) = <1+u², 2u³ - 1, 2u + 1>
both lie on S. Find an equation of the tangent plane at P.
i already dervied r1(t) and r2(u)
but im not sure what the next step is.