### Vector \(\vec{A}\)The image shows a vector \(\vec{A}\) positioned in a coordinate system. The vector forms an angle \(\theta\) with the positive x-axis. The coordinate system indicates the positive directions for x and y.A diagram illustrates:- A rightward arrow marked “+x” indicating the positive x-direction.- A downward arrow marked “+y” indicating the positive y-direction.- A vector \(\vec{A}\) originating from the origin \(O\), pointing into the third quadrant and making an angle \(\theta\) with the negative x-axis.**Problem Statement:**Vector \(\vec{A}\) is shown. Which of the following options represents \(\vec{A}_x\), the x-component of vector \(\vec{A}\)?**Options:**- \(A \cos(\theta)\)- \(-A \cos(\theta)\)- \(-A \sin(\theta)\)- \(A \sin(\theta)\)

Introduction: Physical quantities are divided into two types depending on its direction. Scalars and vectors, Scalar quantity is the quantity which require only magnitude for its complete description, whereas, vectors are he quantity which require magnitude as well direction for its complete description. Given data: In the given problem it is asked to find the component of the vector A along x-axis. Formula used: Component of the vector is, A→ = A→cosθ + A→sinθ Calculation: Componentwise splitting of the vector A is given below. Since the direction of the x-component of the vector is in the negative direction as per the direction given in the problem. Therefore, the x-component of vector A is, Ax=-A→sinθ Answer: Therefore, the x-component of vector A is, Ax=-A→sinθ

Answered: Vector A +x +y Vector A is shown. Which…

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Physics

Vector A +x +y Vector A is shown. Which of the following options represents A, the component of vector A? O A cos(0) O-Asin(@) O-A cos(0) O A sin(@)

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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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

### Vector \(\vec{A}\)

The image shows a vector \(\vec{A}\) positioned in a coordinate system. The vector forms an angle \(\theta\) with the positive x-axis. The coordinate system indicates the positive directions for x and y.

A diagram illustrates:
- A rightward arrow marked “+x” indicating the positive x-direction.
- A downward arrow marked “+y” indicating the positive y-direction.
- A vector \(\vec{A}\) originating from the origin \(O\), pointing into the third quadrant and making an angle \(\theta\) with the negative x-axis.

**Problem Statement:**
Vector \(\vec{A}\) is shown. Which of the following options represents \(\vec{A}_x\), the x-component of vector \(\vec{A}\)?

**Options:**
- \(A \cos(\theta)\)
- \(-A \cos(\theta)\)
- \(-A \sin(\theta)\)
- \(A \sin(\theta)\)

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