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Vectors - All You Need to Know For Pre-Calculus!
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In this video, we cover vectors and do practice problems for each of the concepts covered. Timestamps for specific parts of the video can be found below.
0:00 - Scalar vs. Vector Quantities with Examples
1:36 - What is a Vector?
2:26 - Component Form, Horizontal and Vertical Components, Initial and Terminal Points,
3:34 - Finding the Component of a Vector Given its Initial and Terminal Points, Finding the Terminal Point Given the Vector and Initial Point
5:57 - Magnitude of a Vector, Proof of Formula for Magnitude of a Vector
7:03 - Finding the Magnitude of Vectors
8:23 - Vector Notation with I and J (ai + bj)
9:14 - Addition of Two Vectors Formula and Visual Explanation
10:49 - Multiplying a Vector by a Scalar + Practice Problem
12:31 - Subtraction of Vectors Formula and Explanation
13:10 - Addition and Subtraction of Vectors Practice Problems
14:45 - What is a Unit Vector?
15:14 - How to Convert a Vector to its Unit Vector (Formula and Proof)
17:30 - Converting a Vector to its Unit Vector Practice Problem
18:36 - Direction of a Vector (Theta)
19:05 - Given a Vector's Magnitude and Direction (Theta), Find the Vector in Component Form (Explanation and Problem)
20:38 - Given a Vector, Find Direction Angle (Theta) (Formula and Practice Problem)
22:02 - Thanks for Watching!
0:00 - Scalar vs. Vector Quantities with Examples
1:36 - What is a Vector?
2:26 - Component Form, Horizontal and Vertical Components, Initial and Terminal Points,
3:34 - Finding the Component of a Vector Given its Initial and Terminal Points, Finding the Terminal Point Given the Vector and Initial Point
5:57 - Magnitude of a Vector, Proof of Formula for Magnitude of a Vector
7:03 - Finding the Magnitude of Vectors
8:23 - Vector Notation with I and J (ai + bj)
9:14 - Addition of Two Vectors Formula and Visual Explanation
10:49 - Multiplying a Vector by a Scalar + Practice Problem
12:31 - Subtraction of Vectors Formula and Explanation
13:10 - Addition and Subtraction of Vectors Practice Problems
14:45 - What is a Unit Vector?
15:14 - How to Convert a Vector to its Unit Vector (Formula and Proof)
17:30 - Converting a Vector to its Unit Vector Practice Problem
18:36 - Direction of a Vector (Theta)
19:05 - Given a Vector's Magnitude and Direction (Theta), Find the Vector in Component Form (Explanation and Problem)
20:38 - Given a Vector, Find Direction Angle (Theta) (Formula and Practice Problem)
22:02 - Thanks for Watching!
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