3] By using the properties of dot and cross product, prove the following: a) (w x i). ū = 0.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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3] By using the properties of dot and cross
product, prove the following:
a) (w x i). ū = 0.
b) (w – i) × (w + i) = 2(w x ū).
c)
W x (V x Ū) = (W.üyỹ – (W. VyŪ.
4] Find the equation of the plane that
contains the point (a, 0, 0), (0, b, 0) and
(0, 0, с).
5] Sketch the graph of
r(t) =< sin t, 2 cos t > and show the
direction of increasing t.
Transcribed Image Text:3] By using the properties of dot and cross product, prove the following: a) (w x i). ū = 0. b) (w – i) × (w + i) = 2(w x ū). c) W x (V x Ū) = (W.üyỹ – (W. VyŪ. 4] Find the equation of the plane that contains the point (a, 0, 0), (0, b, 0) and (0, 0, с). 5] Sketch the graph of r(t) =< sin t, 2 cos t > and show the direction of increasing t.
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