Question: 4. (4 pts) Find a vector parametrization for the intersection of the plane a + y + z = 1 and the cylinder y2 +

4. (4 pts) Find a vector parametrization for the intersection of

4. (4 pts) Find a vector parametrization for the intersection of the plane a + y + z = 1 and the cylinder y2 + 22 =3. Give your answer in the form (x(t), y(t), z(t)). 42+2 5 = 3 ( 13 cos( t ) , $3sin(t )> X2 1 - J3 cusit) -53 sinit ) ( 1 - J 3 (us ( t ) - 5 3 sin( ) , J 3 cos (t ) , J 3 sin (t ) )

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