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Vectors: Scalar Multiplication

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:    • Vectors and the Geometry of Space: Ve...   Video notes: https://peakd.com/hive-128780/@mes/ve... Playlist:    • Vectors   Related videos: Vectors and Geometry of Space video series:    • Vectors and the Geometry of Space   . ------------------------------------------------------ Become a MES Super Fan!    / @mes   DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: [email protected] Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps