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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 segnment defined by P.-[1,1], P1=[11, 1], P.-[1,11]. P'i=[1,1].

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].

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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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