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- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/03%3A_Two-Dimensional_Kinematics/3.04%3A__Vector_Addition_and_Subtraction-_Analytical_MethodsAnalytical methods of vector addition and subtraction employ geometry and simple trigonometry rather than the ruler and protractor of graphical methods. Part of the graphical technique is retained, be...Analytical methods of vector addition and subtraction employ geometry and simple trigonometry rather than the ruler and protractor of graphical methods. Part of the graphical technique is retained, because vectors are still represented by arrows for easy visualization. However, analytical methods are more concise, accurate, and precise than graphical methods, which are limited by the accuracy with which a drawing can be made.
- 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/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/03%3A_Two-Dimensional_Kinematics/3.03%3A__Vector_Addition_and_Subtraction-_Analytical_MethodsAnalytical methods of vector addition and subtraction employ geometry and simple trigonometry rather than the ruler and protractor of graphical methods. Part of the graphical technique is retained, be...Analytical methods of vector addition and subtraction employ geometry and simple trigonometry rather than the ruler and protractor of graphical methods. Part of the graphical technique is retained, because vectors are still represented by arrows for easy visualization. However, analytical methods are more concise, accurate, and precise than graphical methods, which are limited by the accuracy with which a drawing can be made.
