If vector u = (1,2,-2) and v = (3,0,1), vector k is the cross product of uxv. a) prove that the vector k is perpendicular to u and v? b) Based on the figure below, prove that: jxi = -k, ixi = 0, jxk = i note do it in a structured way and write it down in the basic equations in problem solving

If vector u = (1,2,-2) and v = (3,0,1), vector k is the cross product of uxv. a) prove that the vector k is perpendicular to u and v? b) Based on the figure below, prove that: jxi = -k, ixi = 0, jxk = i note do it in a structured way and write it down in the basic equations in problem solving

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 57E

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Question

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If vector u = (1,2,-2) and v = (3,0,1), vector k is the cross product of uxv.

a) prove that the vector k is perpendicular to u and v?
b) Based on the figure below, prove that:
jxi = -k, ixi = 0, jxk = i

note

do it in a structured way and write it down in the basic equations in problem solving

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution