1. The Vector or Cross Product Lecture V1.3 Example 5 Moodle

2. Definition of the Cross Product commutative law does NOT hold

3. Distributive Law

4. Cross Product and Vector Components 0

6. Associative Law Does NOT, in general, hold for the cross product

7. Cross Product Geometric Properties Area of parallelogram is h |A| =

8. Cross Product Geometric Properties The volume of the parallelepiped is equal to (area of parallelogram formed by A and B) (height h)

9. Scalar Triple Product

10. Given the vectors and find Matlab Example 1 and = 14j + 7k

11. Given the vectors and find Matlab Example 1 and >> A = [1 -2 4] A = 1 -2 4 >> B = [3 1 -2] B = 3 1 -2 >> C = cross(A,B) C = 0 14 7 >> magC = norm(C) magC = 15.6525 >> = 14j + 7k

12. Given the vectors and find the angle between A and B using. Matlab Example 2 >> A = [1 -2 4] A = 1 -2 4 >> B = [3 1 -2] B = 3 1 -2 >> phi = 180 - (asin(norm(cross(A,B))/(norm(A)*norm(B))))*180/pi phi = 114.0948 >>