For each of the following, write the solution in vector form [see (8.11) and (8.13)]. 2 x − 3 y + 5 z = 3 x + 2 y − z = 5 x − 5 y + 6 z = − 2 4 x + y + 3 z = 13
For each of the following, write the solution in vector form [see (8.11) and (8.13)]. 2 x − 3 y + 5 z = 3 x + 2 y − z = 5 x − 5 y + 6 z = − 2 4 x + y + 3 z = 13
For each of the following, write the solution in vector form [see (8.11) and (8.13)].
2
x
−
3
y
+
5
z
=
3
x
+
2
y
−
z
=
5
x
−
5
y
+
6
z
=
−
2
4
x
+
y
+
3
z
=
13
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.
Solve the following systems of linear equations using the RREF function on the calculator. show appropriate work
2x+2y+3z = 7
4x+4y+6z = 7
4x+4y+2z = 42
6) Find the initial point of the vector that is equivalent to u= (1. 2) and whose terminal point is B(2. 0).
Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1).
2x − u + 3v + w = 0
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