1. Section 6.2: Dot Product of Vectors
Do Now – (5 min. – no talking first 4!)
Find a unit vector starting at the origin and passing through (-3,-4).
Find the magnitude and direction angle of the vector 5i – 12j

2. Find the dot product.
Given and ,

3. Use dot product to find magnitude of a vector.

4. Use dot product to find the angle b/w vectors.

5. Orthogonal Vectors The vectors u and v are orthogonal if and only if .
Prove that the vectors and are orthagonal.
Parallel: angle b/w vectors is 0 or Perpendicular: angle b/w vectors is 90. Otherwise, neither.

6. Projecting One Vector Onto Another
If u and v are nonzero vectors,
the projection of u onto v is…
Find the vector projection of onto Then, write u as a sum of two orthogonal vectors, one of which is

7. Application Problem