### Vectors and Their Magnitude and Direction**Problem 2:**Vectors \(\vec{A}\) and \(\vec{B}\) are shown in the figure.Vector \(\vec{C}\) is given by \(\vec{C} = \vec{B} - \vec{A}\). The magnitude of vector \(\vec{A}\) is 16.0 units, and the magnitude of vector \(\vec{B}\) is 7.00 units.a. **Question:** What is the magnitude and direction of vector \(\vec{C}\) measured counterclockwise (CCW) from the \(+x\)-axis?**Answer:** 16.2 units at 287°**Explanation of the Diagram:**The diagram features a Cartesian coordinate system with the \(x\)-axis and \(y\)-axis intersecting at the origin. Two vectors, \(\vec{A}\) and \(\vec{B}\), are represented as arrows originating from the same point at the origin and pointing in different directions:- Vector \(\vec{A}\) is pointing slightly upwards and to the left with an angle of 42.0° measured from the negative \(x\)-axis towards the positive \(y\)-axis.- Vector \(\vec{B}\) is pointing slightly downwards and to the left with an angle of 31.0° measured from the negative \(x\)-axis towards the negative \(y\)-axis.

The force system is shown below.

2. Vectors A and B are shown in the figure. = B-1. The Vector is given by magnitude of vector is 16.0 units, and the magnitude of vector B is 7.00 units. a. What is the magnitude and direction of vector measured CCW from the +x-axis? Answer: 16.2 units at 287° 42.0° 31.0 X

2. Vectors A and B are shown in the figure. = B-1. The Vector is given by magnitude of vector is 16.0 units, and the magnitude of vector B is 7.00 units. a. What is the magnitude and direction of vector measured CCW from the +x-axis? Answer: 16.2 units at 287° 42.0° 31.0 X

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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Scalars and Vectors

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

Question

### Vectors and Their Magnitude and Direction

**Problem 2:**

Vectors \(\vec{A}\) and \(\vec{B}\) are shown in the figure.

Vector \(\vec{C}\) is given by \(\vec{C} = \vec{B} - \vec{A}\). The magnitude of vector \(\vec{A}\) is 16.0 units, and the magnitude of vector \(\vec{B}\) is 7.00 units.

a. **Question:** What is the magnitude and direction of vector \(\vec{C}\) measured counterclockwise (CCW) from the \(+x\)-axis?

**Answer:** 16.2 units at 287°

**Explanation of the Diagram:**

The diagram features a Cartesian coordinate system with the \(x\)-axis and \(y\)-axis intersecting at the origin. Two vectors, \(\vec{A}\) and \(\vec{B}\), are represented as arrows originating from the same point at the origin and pointing in different directions:

- Vector \(\vec{A}\) is pointing slightly upwards and to the left with an angle of 42.0° measured from the negative \(x\)-axis towards the positive \(y\)-axis.
- Vector \(\vec{B}\) is pointing slightly downwards and to the left with an angle of 31.0° measured from the negative \(x\)-axis towards the negative \(y\)-axis.

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