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Topic: Calculus 3 / Differential Equation Q1) Let (x0, y0, z0) be a point on the...

Topic: Calculus 3 / Differential Equation

Q1) Let (x0, y0, z0) be a point on the curve C described by the following equations
F1(x,y,z)=c1 , F2(x,y,z)=c2 .
Show that the vector [grad F1(x0, y0, z0)] X [grad F2(x0, y0, z0)] is tangent to C at (x0, y0, z0)

Q2) (I've posted this question before but nobody answered, so please do)
Find a vector tangent to the space circle
x2 + y2 + z2 = 1 , x + y + z = 0
at the point (1/sqrt14 , 2/sqrt14, -3/sqrt14)

Math   Advanced-Math   
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