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Magnitude Formula for 3D Vector v=[x,y,z]

Explore the formula |v| = √(x^2 + y^2 + z^2) for a 3D vector v=[x,y,z], an extension of 2D vectors. Break down the concept using right triangles with x, y, z sides.

ralph-osborne
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Magnitude Formula for 3D Vector v=[x,y,z]

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  1. Magnitude of a 3-D Vector v=[x,y,z] x z y This seems to be a logical extension of two dimensional vectors. To explain the formula we will break the diagram down into two right triangles. The first one will have x and y as the sides.

  2. v=[x,y,z] x z y Magnitude Formula w

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