When you add vectors graphically you connect them head to tail, keeping their length and direction constant. The difference from the tail of the first one to the head of the last one is the resultant vector.
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Trigonometry Method. (Resolve the forces along one plane, and then again in a perpendicular plane using cos or sin function. Then use Pythagoras's theorem to work out the hypotenuse (a2+b2=c2). Then use 'Soh Cah Toa' to work out the correct angle of the resultant Force.
When solving vector addition problems, you can use the graphical method or the analytical method. The graphical method involves drawing vectors to scale on a coordinate system and using the tip-to-tail approach or the parallelogram method to find the resultant vector. The analytical method involves breaking down the vectors into their components, typically using trigonometric functions, and then summing the respective components to find the resultant vector. Both methods can yield the same result if applied correctly.
graphical method
analytical method. The graphical method involves drawing vectors to scale and using the head-to-tail rule to find the resultant vector visually. In contrast, the analytical method uses mathematical calculations, typically employing vector components and the Pythagorean theorem to determine the magnitude and direction of the resultant vector. Both methods yield the same result, but the choice depends on the context and complexity of the problem.
When solving vector addition problems, you can use either the graphical method or the analytical method in geometry. The analytical method involves using mathematical calculations, such as component breakdown and the Pythagorean theorem, to determine the resultant vector. This method often utilizes trigonometric functions to resolve vectors into their horizontal and vertical components. Both methods yield the same result but may be preferred in different contexts based on the complexity of the vectors involved.
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analytical method.
analytical method.
both are used to solve linear programming problems
Graphical method sample problem: Find the solution to the system of equations: 2x + 3y = 12 x - y = 3 Analytical method sample problem: Solve the system of equations using substitution method: 3x + 2y = 11 4x - 5y = -7
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