By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.
<h3>How to determine the resulting point by applying translations</h3>
Translations are a kind of <em>rigid</em> transformation. A transformation is <em>rigid</em> if and only if <em>Euclidean</em> distances are conserved. By linear algebra, an image as a consequence of <em>consecutive</em> translations is described by the following formula:
(1)
Where:
- P(x, y) - Original point
- P'(x, y) - Image
- Net translation vector
Now we proceed to determine the image of the given point:
P'(x, y) = (-3, 4) + (7, -6) + (-1, 3)
P'(x, y) = (-3 + 7 - 1, 4 - 6 + 3)
P'(x, y) = (3, 1)
By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.
To learn more on rigid transformations: brainly.com/question/1761538
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