Search
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.01%3A_Vector_ArithmeticIn mathematical notation, a real-valued vector A is said to have a magnitude A=|A| and direction a^ such that A=Aa^(4.1.1) where a^ is a unit vector (i.e., a real-valued vector having magnitud...In mathematical notation, a real-valued vector A is said to have a magnitude A=|A| and direction a^ such that A=Aa^(4.1.1) where a^ is a unit vector (i.e., a real-valued vector having magnitude equal to one) having the same direction as A . If a vector is complex-valued, then A is similarly complex-valued
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/66%3A_Appendices/66.16%3A_Vector_Arithmeticwhere \(\mathbf{i}\) is a unit vector (a vector of magnitude 1) in the \(x\) direction, \(\mathbf{j}\) is a unit vector in the \(y\) direction, and \(\mathbf{k}\) is a unit vector in the \(z\) directi...where \(\mathbf{i}\) is a unit vector (a vector of magnitude 1) in the \(x\) direction, \(\mathbf{j}\) is a unit vector in the \(y\) direction, and \(\mathbf{k}\) is a unit vector in the \(z\) direction. \(A_{x}, A_{y}\), and \(A_{z}\) are called the \(x, y\), and \(z\) components (respectively) of vector \(\mathbf{A}\), and are the projections of the vector onto those axes.
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/09%3A_Vectors/9.02%3A_Vector_Arithmetic-_Graphical_MethodsThe sum of all the vectors is then found by drawing a vector from the tail of the first vector in the chain to the head of the last one (Fig. \(\PageIndex{1}\)(c)). The sum vector points from the tail...The sum of all the vectors is then found by drawing a vector from the tail of the first vector in the chain to the head of the last one (Fig. \(\PageIndex{1}\)(c)). The sum vector points from the tail of the first vector to the head of the last. (d) Vector subtraction: \(\mathbf{A}-\mathbf{B}\) points from the head of \(\mathbf{B}\) to the head of A. (e) Multiplication of a vector A by various scalars.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/04%3A_Vector_Analysis/4.01%3A_Vector_ArithmeticIn mathematical notation, a real-valued vector A is said to have a magnitude A=|A| and direction a^ such that A=Aa^(4.1.1) where a^ is a unit vector (i.e., a real-valued vector having magnitud...In mathematical notation, a real-valued vector A is said to have a magnitude A=|A| and direction a^ such that A=Aa^(4.1.1) where a^ is a unit vector (i.e., a real-valued vector having magnitude equal to one) having the same direction as A . If a vector is complex-valued, then A is similarly complex-valued
