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Components of a Vector in Three Dimensions

Let P(x, y, z) be any point in space and 79032.png are the unit vectors along the axes of coordinates.
Then 79038.png.
Thus, any vector in space can be expressed as a linear combination of the triads 79046.png, and 79052.png. Here, x, y, and z are the scalar components of the vectors OP along x, y, and z axes respectively.
The vector components along the axes are 79058.png, and 79066.png respectively.
Also, 79072.png

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