Linear Algebra for Computer Scientists. 4. Scalar Multiplication of Vectors

This computer science video is the fourth in a series about linear algebra for computer scientists. In this video you will learn how to multiply a vector by a scalar quantity, that is, by a number. You will see that multiplying a vector by a positive scalar results in a new vector with a different magnitude but that points in the same direction, unless the number is 1, in which case the new vector will be identical to the original. Multiplying a vector by a negative scalar results in a new vector that points in completely the opposite direction. This too will result in a change of magnitude, unless the value of the scalar is -1, in which case the new vector will simply point in the opposite direction with the same magnitude.
Chapters:
00:00 New vectors from existing vectors
00:18 Multiply a vector by a positive whole number
00:42 Multiply a vector by any positive number
00:56 Multiply a vector by a number less than 1
01:06 Multiply a vector by any negative number
01:41 A physics application force = mass * acceleration