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

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

Definition of the Cross Product commutative law does NOT hold

Distributive Law

Cross Product and Vector Components 0

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

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

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

Scalar Triple Product

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

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

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