Chapter 10: Vectors and Geometry of Space.

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).