# Ch 3: NYSTCE Physics: Vectors & Scalars

### About This Chapter

## NYSTCE Physics: Vectors & Scalars - Chapter Summary

Complete the activities of this chapter to prepare for questions about vectors and scalars on the New York State Teacher Certification Examinations (NYSTCE) Physics test. Watch our professional instructors as they review the difference between vectors and scalars and then explain the equations used when solving for the components of vectors. After this chapter, you should have mastery over:

- Differences between scalars and vectors
- Adding vectors with the geometric approacg
- Calculating resultants of vectors
- Determining the magnitude and direction of vectors

Complete the lesson quizzes in this chapter to reinforce your knowledge of vectors and scalars and discover topics you may want to review before you take the NYSTCE Physics exam. During this review, use video tags to go directly to spots in the lessons where key subjects were discussed or, for an alternative review of the material, read over the lesson transcripts.

### NYSTCE Physics: Vectors & Scalars Chapter Objectives

New York State uses the NYSTCE Physics exam to certify its physics teachers. This certification exam is administered in a four-hour and 15-minute testing session, in which test takers are given 90 multiple-choice questions and one constructed-response question to complete. Of the material covered on the exam, these vectors and scalars topics are covered within the foundations of scientific inquiry section, which makes up 19% of the exam. Additional vector topics may be found within the mechanics and thermodynamics and the electricity and magnetism sections. Use the activities in this chapter to improve your knowledge of vectors and scalars and prepare for such questions on test dat.

### 1. Scalars and Vectors: Definition and Difference

In this lesson, we will examine scalars and vectors, learn why it is important to know the difference between the two and why remembering to add a direction to many of your exam answers could be the reason you get it right or wrong.

### 2. Vector Addition (Geometric Approach): Explanation & Examples

After watching this video, you will be able to explain why we might need to add two vectors and, given magnitudes and directions, add two vectors using geometric methods. A short quiz will follow.

### 3. Resultants of Vectors: Definition & Calculation

After watching this video, you will be able to explain what a resultant of a vector is and use mathematics to calculate the resultant of two vectors. A short quiz will follow.

### 4. Vector Components: The Magnitude of a Vector

After watching this lesson, you will be able to explain what the magnitude of a vector refers to, and how to calculate it when given the components of a vector. A short quiz will follow.

### 5. Vector Components: The Direction of a Vector

After watching this lesson, you will be able to explain what is meant by the direction of a vector and calculate the direction of a vector when given the x and y components. A short quiz will follow.

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### Other Chapters

Other chapters within the NYSTCE Physics (009): Practice and Study Guide course

- NYSTCE Physics: Foundations of Scientific Inquiry
- NYSTCE Physics: Scientific Experimentation
- NYSTCE Physics: Principles of Motion
- NYSTCE Physics: Fluid Mechanics
- NYSTCE Physics: Linear Momentum
- NYSTCE Physics: Work, Energy & Power
- NYSTCE Physics: Laws of Gravitation
- NYSTCE Physics: Oscillations
- NYSTCE Physics: Rotational Motion, Collisions & Conservation
- NYSTCE Physics: Heat, Energy & Thermodynamics
- NYSTCE Physics: Electrical Forces & Fields
- NYSTCE Physics: Potential & Capacitance
- NYSTCE Physics: Current Circuits
- NYSTCE Physics: Magnetism
- NYSTCE Physics: Waves, Sound & Light
- NYSTCE Physics: Quantum Theory & Atomic Structure
- NYSTCE Physics Flashcards