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Please answer the following question(s): 1. Two vectors a and b are added together, the sum of the vectors is as in the figure below. C O a What is the relative angle 'C' between the two vectors to the nearest degree? Assume the following magnitudes: |a| = 6 = 7.5 || = 10 Hint: Use the Law of Cosines and solve for the angle C. Angle C =

Please answer the following question(s): 1. Two vectors a and b are added together, the sum of the vectors is as in the figure below. C O a What is the relative angle 'C' between the two vectors to the nearest degree? Assume the following magnitudes: |a| = 6 = 7.5 || = 10 Hint: Use the Law of Cosines and solve for the angle C. Angle C =

College Physics
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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**Please answer the following question(s):** 1. Two vectors **a** and **b** are added together; the sum of the vectors is **c** as in the figure below. What is the relative angle "C" between the two vectors to the nearest degree? Assume the following magnitudes: - \(|\mathbf{a}| = 6\) - \(|\mathbf{b}| = 7.5\) - \(|\mathbf{c}| = 10\) *Hint: Use the Law of Cosines and solve for the angle C.* Angle C = --- **Diagram Explanation:** The diagram is a triangle formed by the vectors \(\mathbf{a}\), \(\mathbf{b}\), and \(\mathbf{c}\). It shows vector \(\mathbf{a}\) and vector \(\mathbf{b}\) connecting to form the resultant vector \(\mathbf{c}\). The angle between vectors \(\mathbf{a}\) and \(\mathbf{b}\) is labeled as angle C.
Transcribed Image Text:**Please answer the following question(s):** 1. Two vectors **a** and **b** are added together; the sum of the vectors is **c** as in the figure below. What is the relative angle "C" between the two vectors to the nearest degree? Assume the following magnitudes: - \(|\mathbf{a}| = 6\) - \(|\mathbf{b}| = 7.5\) - \(|\mathbf{c}| = 10\) *Hint: Use the Law of Cosines and solve for the angle C.* Angle C = --- **Diagram Explanation:** The diagram is a triangle formed by the vectors \(\mathbf{a}\), \(\mathbf{b}\), and \(\mathbf{c}\). It shows vector \(\mathbf{a}\) and vector \(\mathbf{b}\) connecting to form the resultant vector \(\mathbf{c}\). The angle between vectors \(\mathbf{a}\) and \(\mathbf{b}\) is labeled as angle C.
Expert Solution
Step 1

Given value---

  • magnitude of a = 6.
  • magnitude of b  = 7.5 .
  • magnitude of c = 10 .

We have to find---

  • angle C ?
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