**Exercise 1: Vector Analysis****Instructions:** Use the vectors in the diagram below to answer the following questions.**Diagram Description:**- Vector \(\vec{v}_A\): A horizontal arrow pointing to the left.- Vector \(\vec{v}_B\): An arrow pointing upwards and to the right at an angle.- Vector \(\vec{v}_C\): An arrow pointing downwards and to the right at an angle.Each vector is denoted by a blue arrow with its corresponding label. Analyzing the direction and relative lengths of these vectors will help in answering related questions. c) Describe the direction of \(\vec{M}\), if \(\vec{M} = \vec{v}_A \times \vec{v}_C\). Your answer should be in words, not numbers.

CONCEPT OF CROSS PRODUCT: Cross product of two vectors is equal to product of their magnitude and sine of angle between them. Consider A and B are two vectors and angle between them is θ, then, A × B = |A||B|sinθn̂ Where, n̂ is unit vector representing the direction of vector formed by cross product of A and B. Consider the vector formed by cross product of A and B is C, such that, C = A × B The direction of C vector is in direction of n̂ which is perpendicular to the plane formed by A and B. Given that, M = vA × vB and we have to determine the direction of M vector. Vector M is equal to cross product of vector vA and vB. Hence, direction of M is in perpendicular direction to the plane formed by vector vA and vB. This is represented through diagram below:

Answered: 1. Use the vectors in the diagram below…

Science

Physics

1. Use the vectors in the diagram below to answer the following questions. VA 15

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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