Suppose that a researcher wanted to measure the federal government's efforts to make the education of its citizens a priority. T
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The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is .
<h3>What is the value of a vector with respect to another vector?</h3>
First, we need to determine the value of the vector u by subtracting two vectors whose <em>initial</em> points are at the origin:
(1)
According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:
(2)
Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.
The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is .
<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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Given:
and
.
To find:
The relationship between the ratios.
Solution:
We have, two ratios in the fraction form.
and
First ratio =
=
= (Cancel out the common factors)
First ratio = Second ratio
Since, the both ratios are equal to each other, therefore, the given ratios are equivalent ratios.