### Vector Scalar Product Calculation#### Problem Statement**Vector \( \vec{A} \)**:- Length: 24.4 units- Direction: Along the x-axis**Vector \( \vec{B} \)**:- Length: 24.3 units- Direction: 123° counter-clockwise from the x-axis#### TaskCalculate the scalar product (dot product) \( \vec{A} \cdot \vec{B} \).#### Answer Input- [Your Answer: _______]### ExplanationTo calculate the scalar product \( \vec{A} \cdot \vec{B} \), we use the formula:\[ \vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos(\theta) \]where:- \( |\vec{A}| \) is the magnitude of vector \( \vec{A} \)- \( |\vec{B}| \) is the magnitude of vector \( \vec{B} \)- \( \theta \) is the angle between the vectors \( \vec{A} \) and \( \vec{B} \)Given values:- \( |\vec{A}| = 24.4 \)- \( |\vec{B}| = 24.3 \)- \( \theta = 123^\circ \)Next, calculate the cosine of the angle:\[ \cos(123^\circ) \]Finally, plug the values into the formula to find the scalar product.

Answered: Vector 4 is 24.4 units long, and is…

Vector 4 is 24.4 units long, and is directed along the x-axis. Vector B is 24.3 units long, and is 123° counter-clockwise from the x-axis. Calculate the scalar product A.B. Your Answer:

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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