Provide an Appropriate Response $\mathbf { p } _ { 3 }$

Multiple Choice

Provide an appropriate response.
-If 2 Bézier curves are joined at the point $\mathbf { p } _ { 3 }$ what is necessary for $\mathrm { C } ^ { 1 }$ parametric continuity?

A) p $_ { 3 }$ just needs to be a control point for both curves.
B) Both tangent vectors at $\mathbf { p } _ { 3 }$ need to have the same magnitude and direction.
C) Both tangent vectors at $\mathbf { p } _ { 3 }$ need to point in the same direction.
D) The second derivative at $\mathbf { p } _ { 3 }$ needs to equal 0 .