As in Exercise 15, describe the solutions of the following system in parametric vector form, and provide a geometric comparison with the solution set in Exercise 6. x 1 + 3 x 2 − 5 x 3 = 4 x 1 + 4 x 2 − 8 x 3 = 7 − 3 x 1 − 7 x 2 + 9 x 3 = − 6
As in Exercise 15, describe the solutions of the following system in parametric vector form, and provide a geometric comparison with the solution set in Exercise 6. x 1 + 3 x 2 − 5 x 3 = 4 x 1 + 4 x 2 − 8 x 3 = 7 − 3 x 1 − 7 x 2 + 9 x 3 = − 6
As in Exercise 15, describe the solutions of the following system in parametric vector form, and provide a geometric comparison with the solution set in Exercise 6.
x
1
+
3
x
2
−
5
x
3
=
4
x
1
+
4
x
2
−
8
x
3
=
7
−
3
x
1
−
7
x
2
+
9
x
3
=
−
6
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.
5. Write the solution set of the given homogeneous system in parametric vector form.
Describe the solutions of the given system into parametric vector form.
x1+x2+ 2x3= 9
2x1+ 4x2−3x3= 1
3x1+ 3x2+ 6x3= 27
Also compare this solution, geometrically, with the solution set of the following homogeneous system.
x1+x2+ 2x3= 0
2x1+ 4x2−3x3= 0
3x1+ 3x2+ 6x3= 0
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