**Question:**The x component of vector \( \vec{A} \) is 3 units, and its y component is -4 units. The magnitude of \( \vec{A} \) is:**Options:**- O units.- -1 units.- \( \sqrt{25} \) units.- 7 units.- 3 units.**Explanation:**In this question, you need to determine the magnitude of the vector \( \vec{A} \) given its x and y components. The magnitude of a vector can be found using the Pythagorean theorem:\[ |\vec{A}| = \sqrt{(A_x)^2 + (A_y)^2} \]where \( A_x \) is the x component of the vector and \( A_y \) is the y component of the vector.Given:\[ A_x = 3 \text{ units} \]\[ A_y = -4 \text{ units} \]Thus,\[ |\vec{A}| = \sqrt{(3)^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \text{ units} \]So the correct answer is \( \sqrt{25} \) units.

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The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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