(a) Draw and parametrize the circle of radius two centered at (1,-1,1) and lying on the...

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(a) Draw and parametrize the circle of radius two centered at (1,-1,1) and lying on the plane z+y+z=1. Hint: find two orthogonal unit vectors which are parallel to the plane. (b) Find parametric equations for two circles C₁ and C₂ in space such that • C₁ and C₂ have the same radius: . C₁ and C₂ intersect at the points P(2,-1,3) and Q(2, 1, 3) and nowhere else. (a) Draw and parametrize the circle of radius two centered at (1,-1,1) and lying on the plane z+y+z=1. Hint: find two orthogonal unit vectors which are parallel to the plane. (b) Find parametric equations for two circles C₁ and C₂ in space such that • C₁ and C₂ have the same radius: . C₁ and C₂ intersect at the points P(2,-1,3) and Q(2, 1, 3) and nowhere else.

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a To draw and parametrize the circle of radius two centered at 1 1 1 and lying on the plane y z 1 we... View the full answer