1. Pre-calc w-up 10/31

2. 8.4 Perpendicular Vectors
If the inner product is _______ then the vectors are ___________
Often called the “dot product” and you say “a dot b”
zero
perpendicular

3. Ex1: find the inner product and determine if any are perpendicular.c)

4. Inner product of vector in space is extension of vector in a plane.
Example 2

5. Cross product of two vectors in space is a vector
Does not lie in the plane of the given vectors but is perpendicular.
Cross product is written

6. To find the cross product, we need to review how to find the determinants of matrices - easy

7. Plug into formula
Find the determinant
Write it as an ordered triple – this is your cross product.
How would I tell if it is perpendicular?

8. Find the inner product of new vector and v and new vector and w
Summary:
Homework: 8.4 pg 509 # 11-19, 21-26