**Vector Length Calculation**Consider vector \( B \) pictured below and the given length for \( B_x = 12.2 \, \text{cm} \) and \( \theta = 24.0^\circ \). What is the length (the hypotenuse) of vector \( B \)?**Diagram Details:**- The diagram shows a right triangle formed by vector \( B \).- \( B_x = 12.2 \, \text{cm} \) is the horizontal component along the x-axis.- \( \theta = 24.0^\circ \) is the angle between \( B_x \) and vector \( B \).- Vector \( B \) is represented as the hypotenuse of the triangle, extending from the origin.- A vertical line is drawn from the endpoint of \( B_x \) to the endpoint of vector \( B \), indicating the vertical component.To find the length of vector \( B \), use the cosine function:\[\cos(\theta) = \frac{B_x}{B}\]Solve for \( B \):\[B = \frac{B_x}{\cos(\theta)}\]Calculate using the given values.

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Answered: B 10 Bx = 12.2 cm Consider vector B…

B 10 Bx = 12.2 cm Consider vector B pictured below and the given length for Bx=12.2cm and 9 = 24.0° What is the length. (the hypotenuse) of vector B?

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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