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

question 18

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 \(\mathbf { p } _ { 1 } - \mathbf { p } _ { 0 }\).

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