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alexgmcm
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All information pertaining to the question and my attempted solution is here: http://mathbin.net/39295
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alexgmcm said:All information pertaining to the question and my attempted solution is here: http://mathbin.net/39295
A vector is a mathematical object that represents a magnitude (size) and direction. It is often represented graphically as an arrow with a specific length and direction.
A scalar is a quantity that only has magnitude, while a vector has both magnitude and direction. For example, temperature is a scalar because it only has a numerical value, while velocity is a vector because it has both magnitude (speed) and direction.
To add two vectors, you must first make sure they are in the same coordinate system. Then, you can add their corresponding components (x and y coordinates) together to get the resulting vector's components. This can also be done graphically by placing the tail of one vector at the head of the other and drawing a new vector from the tail of the first to the head of the second.
Yes, there are two types of vector multiplication: dot product and cross product. The dot product results in a scalar quantity, while the cross product results in a vector. These operations are used for different purposes and have different formulas, so it is important to know which one is needed for a specific problem.
Vectors are used in many fields, including physics, engineering, and computer graphics. Some common applications include representing forces and motion, calculating displacement and velocity, and creating 3D graphics and animations. They are also used in navigation systems, such as GPS, to determine position and direction.