Mathematical Methods



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Contents

Analysis


Description: Scalar analysis deals with quantities having only magnitude, like speed. Vector analysis involves quantities with both magnitude and direction, like velocity.


Representation


Description: Representation of vectors: Depiction of magnitude and direction. Position vector: Vector pointing from the origin to a point, indicating its location in space.


Law for Vectors


Description: Vector addition: Combining vectors to find resultant. Triangle law: Connecting vectors head-to-tail forms the third side of a triangle. Parallelogram law: Using parallelogram construction for vector addition.


Numericals & Subtraction


Description: Subtraction of vectors involves adding the negative of a vector to another, equivalent to adding its opposite, changing direction in the process.


Resolution


Description: Resolution of vectors involves breaking a vector into its perpendicular components along specified axes, typically horizontal and vertical, using trigonometry.


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