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The Vector or Cross Product

The Vector or Cross Product

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The Vector or Cross Product

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  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

  5. Cross Product and Vector Components

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

  11. Matlab Example 1 and Given the vectors and find >> 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. Matlab Example 2 and Given the vectors find the angle between A and B using >> 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 >> .