Chapter One: Vector Analysis The use of vectors and vector analysis ...

Electromagnetic Theorem
(Dr. Omed Ghareb Abdullah) University of Sulaimani –College of Science – Physics Department
Example:
Let , calculate the dot product of with itself:
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This is the law of cosine.
4‐ Cross product of two vectors (Vector Product):
where is a unit vector, pointing perpendicular to the plane of and . (the direction
pointed by right‐hand rule).
Right‐hand rule: Let your finger point in the direction of the first vector and curl around (via
the smaller angle) toward the second; then your thumb indicates the direction of .
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Vector Algebra:
Let , , and be unit vectors parallel to the , , and respectively.
An arbitrary vector can be expanded in term of these basis vectors:
The numbers , , and are called components of .
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