Vectors, lines and planes, linear equations

Vectors in R², R³ and Rⁿ: Ch.1.1

Dot product, ortogonality and angles: Ch 1.2.

Orthogonal projection to a vector in R², page 380.

Lines and planes in the space: Ch 1.3. 

Systems of linear equations: Ch. 2.1.

Reading  for  Module 1 :

Ch 1.1   up till page  11 (inclusive)

Ch.1.2.  all. "Discussion and discovery" D3, D5,  D9 ,  D10 

Page 380 from "Orthogonal projections onto lines through the origin" until example 3 on page  382.

Ch 1.3. Read and think about "discussion and discovery" questions D2, D4,  and D5 in page 38.

Ch  2.1.  "Discussion and discovery"  D1, D2,  D5, D8, D9.