Find the cross product a × b. a = (t, 7, 1/t) , b = (t^2, t^2, 1) Verify that it is orthogonal to both a and b. (a × b) · a  =    (a × b) · b  =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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Find the cross product a × b.

a = (t, 7, 1/t) , b = (t^2, t^2, 1)

Verify that it is orthogonal to both a and b.

(a × b) · a  =   
(a × b) · b  =
Expert Solution
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Here two vectors are given. We have to find the cross product of the given vectors (a and b). Also we want to verify the resultant of cross product is orthogonal to both vectors a and b.

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9781133382119
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Swokowski
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