4. (a) Find the mid-point, unit tangent vector and unit normal vector at the mid-point of a planar Hermite Cubic Spline curve segnment defined by P.-[1,1], P1=[11, 1], P.-[1,11]. P'i=[1,1].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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4. (a) Find the mid-point, unit tangent vector and unit normal vector at the mid-point of a planar
Hermite Cubic Spline curve segment defined by P.-[1,1], P1=[11, 1], P'.=[1,11]. P'i=[1,1].
(b) Rotate the rectangle with the corners at A-[0,0], B=[2,0]. C-[2, 2], D=[0, 2] shown below, 30°
counter-clock-wise about its centroid and find the new coordinates of the corners of the rectangle A*,
B*, C* and D*.
(0.2)
(2.2)
7009
(2,0)
Transcribed Image Text:4. (a) Find the mid-point, unit tangent vector and unit normal vector at the mid-point of a planar Hermite Cubic Spline curve segment defined by P.-[1,1], P1=[11, 1], P'.=[1,11]. P'i=[1,1]. (b) Rotate the rectangle with the corners at A-[0,0], B=[2,0]. C-[2, 2], D=[0, 2] shown below, 30° counter-clock-wise about its centroid and find the new coordinates of the corners of the rectangle A*, B*, C* and D*. (0.2) (2.2) 7009 (2,0)
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