Answered: A general equation plan: ax+by+cz+10=0…

A general equation plan: ax+by+cz+10=0 passes through the point A=(5,5,3) and is parallel to the directions of the vectors u =(−2,8,8) and v=(−2,−1,−4). Determine the value of parameter a.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 16E

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Question

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A general equation plan:

ax+by+cz+10=0

passes through the point A=(5,5,3) and is parallel to the directions of the vectors u =(−2,8,8) and v=(−2,−1,−4).

Determine the value of parameter a.

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.

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Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)

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