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Given x = (2, 3) and y = (1, 1), calculate the following algebraically and sketch a
Chapter 1, Problem 1(choose chapter or problem)
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QUESTION:
1. Given x = (2, 3) and \(y=(-1,1)\), calculate the following algebraically and sketch a picture to show the geometric interpretation.
a. x + y
b. \(\mathbf{x}-\mathbf{y}\)
c. x + 2y
d. \(\frac{1}{2} \mathbf{x}+\frac{1}{2} \mathbf{y}\)
e. \(y-x\)
f. \(2 \mathbf{x}-\mathbf{y}\)
g. \(\|\mathbf{x}\|\)
h. \(\frac{\mathbf{x}}{\|\mathbf{x}\|}\)
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QUESTION:
1. Given x = (2, 3) and \(y=(-1,1)\), calculate the following algebraically and sketch a picture to show the geometric interpretation.
a. x + y
b. \(\mathbf{x}-\mathbf{y}\)
c. x + 2y
d. \(\frac{1}{2} \mathbf{x}+\frac{1}{2} \mathbf{y}\)
e. \(y-x\)
f. \(2 \mathbf{x}-\mathbf{y}\)
g. \(\|\mathbf{x}\|\)
h. \(\frac{\mathbf{x}}{\|\mathbf{x}\|}\)
ANSWER:Step 1 of 9