a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x1 - 8x2 - 6x3 = 8 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?

a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x1 - 8x2 - 6x3 = 8 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 28E

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Question

plz do not use the topics like rank, vector spaces, subspaces, column spaces, etc. or their associated theory to explain part C

a. Write the solution set to the following equation in parametric vector form (consider ₁ to be
the basic variable).
x18x2 - 6x3 = 0
x = x₂
+x3
b. Write the solution set to the following equation in parametric vector form (consider ₁ to be
the basic variable).
6x3 = 8
x1 -
8x2
x =
+x2
+x3
c. How do the graphs of the solutions sets to the equations in parts a and b differ?

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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