1. Introduction
Today we are looking at vector and matrix operations in MathCAD
We will review vector addition, dot products and cross products, and matrix operations

2. Warm-Up Problem
Draw and then add these two vectors: Find the magnitude of the resulting vector, and its angle with the x-axis

3. Vector Concepts Unit vectors Vector addition
Define a coordinate system
All are at right angles with each other
Length one
Vector addition
Tip to tail
Vector magnitude and angles

4. Dot Product Useful info: Cos(0) = 1 Cos(pi/2) = 0 Cos(pi) = -1 V_1 Θ
What is v_1 * v_1?

5. Cross Product Matrix determinant in the following form:
𝑣 𝑥 𝑢= 𝑖 𝑗 𝑘 𝑣 𝑥 𝑣 𝑦 𝑣 𝑧 𝑢 𝑥 𝑢 𝑦 𝑢 𝑧
𝑢 𝑥 𝑢=0

6. MathCAD Problem
Find the angle between
and

7. Matrix Operations
Review: Transpose, inverse, solutions of a matrix equation
What is the transpose of ?
How do you solve Ax = b?
MathCAD problem:
Find the inverse and transpose of −

8. Homework Chapter 2: Chapter 3: Chapter 4: 1,2,11,12,13,20,28
4,11,13,15,20,47
Chapter 4:
1,2,4,8,14,22,24,32
Turn in MathCAD worksheets
Due Monday, 4-16