Provide an Appropriate Response $x ( t )$ Be a Bézier Curve and the Tangent Vector

Multiple Choice

Provide an appropriate response.
-Let $x ( t )$ be a Bézier curve and the tangent vector $x ^ { \prime } ( t )$ is computed. What does knowing that $\mathbf { x } ^ { \prime } ( 0 ) =$ $3 \left( \mathbf { p } _ { 1 } - \mathrm { p } _ { 0 } \right)$ tell you?

A) The tangent vector points in the direction from $\mathbf { p } _ { 0 }$ to $- \mathbf { p } _ { 1 }$ and its length is 3 times the length of $\mathbf { p } _ { 1 }$ .
B) The tangent vector points in the direction from $\mathbf { p } _ { 1 }$ to $\mathrm { p } _ { 0 }$ and its length is 3 times the length of $\mathbf { p } _ { 1 } - \mathbf { p } _ { 0 }$ .
C) The tangent vector points in the direction from $\mathbf { p } _ { 0 }$ to $\mathbf { p } _ { 1 }$ and its length is 3 .
D) The tangent vector points in the direction from $\mathbf { p } _ { 0 }$ to $\mathbf { p } _ { 1 }$ and its length is 3 times the length of $\mathbf { p } _ { 1 } - \mathbf { p } _ { 0 }$ .