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Vectors: Scalar Multiplication

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First published at 19:13 UTC on April 15th, 2023.

#mathematics
#science
#vectors

Math Easy Solutions

MES

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In this video I go over scalar multiplication for vectors. The idea behind scalar multiplication is wanting to multiply a vector by a real number c such that it becomes shorter or longer but in the same parallel direction. In other words, the real number c "scales" the vector. And when multiplying by a negative number, the vector flips in the opposite direction. When dealing with negative vectors, we can visualize this by subtracting vectors using the Parallelogram or Triangle Laws. I also go over an example to illustrate scaling and adding vectors.

The timestamps of key parts of the video are listed below:

- Definition of Scalar Multiplication: 0:00
- Negative Vectors: 3:00
- Example 2: 6:11

This video was taken from my earlier video listed below:

- Vectors and the Geometry of Space: Vectors: https://youtu.be/0lJiVlKw4Kc
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-vectors
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EiRECLVkBCcFhSpbSz8XIw