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

Question 51

Multiple Choice

Provide an appropriate response.
-Let x(t) x ( t ) be a Bézier curve and the tangent vector x(t) x ^ { \prime } ( t ) is computed. What does knowing that x(0) =\mathbf { x } ^ { \prime } ( 0 ) = 3(p1p0) 3 \left( \mathbf { p } _ { 1 } - \mathrm { p } _ { 0 } \right) tell you?


A) The tangent vector points in the direction from p0\mathbf { p } _ { 0 } to p1- \mathbf { p } _ { 1 } and its length is 3 times the length of p1\mathbf { p } _ { 1 } .
B) The tangent vector points in the direction from p1\mathbf { p } _ { 1 } to p0\mathrm { p } _ { 0 } and its length is 3 times the length of p1p0\mathbf { p } _ { 1 } - \mathbf { p } _ { 0 } .
C) The tangent vector points in the direction from p0\mathbf { p } _ { 0 } to p1\mathbf { p } _ { 1 } and its length is 3 .
D) The tangent vector points in the direction from p0\mathbf { p } _ { 0 } to p1\mathbf { p } _ { 1 } and its length is 3 times the length of p1p0\mathbf { p } _ { 1 } - \mathbf { p } _ { 0 } .

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