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
1 1 1
1 1 1
∙ 1111
|| √3 ; || √3
∙ ⟹ ∙
1 3
⟹ 70.5288 °
Problem:
Use the cross product to find the components of the vector perpendicular to the plane
shown in Fig.
z
3
x
1
2
y
Let:
1 2 0
1 0 3
1 2 0 6 3 2
1 0 3
6 3 2 7
Triple Products:
Since the cross product of two vectors is itself a vector, it can be dotted or crossed with a
third vector to form a triple product.
1‐ Scalar triple product: ∙
Geometrically ∙ is the volume of the parallelepiped generated by , ,
6