Chapter 10: Vectors and Geometry of Space.
10.2 Vectors.
10.2 Vectors.
Vectors.
0:00 Introduction to Vectors.
5:54 Combining Vectors; The Sum of two vectors.
7:30 The vector addition " Triangle Law".
8:20 The vector addition " Parallelogram Law".
10:12 Definition of Scalar Multiplication.
13:32 The vector Difference " u - v".
15:03 Vector Components.
18:07 The Magnitude or Length.
19:06 Adding, Subtracting Vectors, and Scalar Multiplication.
20:17 Example: Adding, Subtracting Vectors, and Scalar Multiplication. 22:02 Properties of Vectors.
23:32 The Standard basis Vectors: i, j, and k.
27:44 Example: on using the standard forms of vectors " the i, j, and k". 28:56 A Unit Vector.
30:52 Example: Find a unit vector in the direction of the vector 2 i - j - 2 k. 31:58 Applications.
33:46 Example: Tensions (Forces on an object).