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My name is Ann [436]
3 years ago
7

Can anybody help me solve these problems? My teacher had a answer key up for us to check our answers but I have no idea where to

start.

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

f = 59

g = 59

Step-by-step explanation:

f = 180 - 121

f = 59

g = 180 - 121

g = 59

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First, we need to determine the value of the vector u by subtracting two vectors whose <em>initial</em> points are at the origin:

\vec u = (19\,\hat{i} - 8\,\hat{j}) - (21\,\hat{i} + 12\,\hat{j})

\vec u = - 2\,\hat{i} - 20\,\hat{j}     (1)

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Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.

\vec v = 10\,\hat{i} + 100\,\hat{j}

The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is \vec v = 10\,\hat{i} + 100\,\hat{j}.

<h3>Remark</h3>

The statement presents typing mistakes, correct form is shown below:

<em>Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?</em>

To learn more on vectors: brainly.com/question/13322477

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