Some properties of vectors - there is a point I don't understand it .

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SUMMARY

Two vectors A and B are equal if they possess identical magnitudes and directions. This property allows for the parallel translation of a vector in diagrams without altering its characteristics. For example, the vector u = i + j and the vector v, which extends from (2, 1) to (3, 2), both have a magnitude of |u| = |v| = sqrt(2) and form a 45-degree angle with the positive x-axis, illustrating this concept effectively.

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r-soy
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Hi



Two vectors A and B are equal if they have the same magnitude and the same direction . this property allows us to translate a vector parallel to itself in a diagram without affecting the vector . In fact , for most purposes, any vector can be moved parallel to itself without being affected .



can you give me an example of that point
 
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Let u = i + j

Let v be the vector that extends from (2, 1) to (3, 2)

Then |u| = |v| = sqrt(2)
and both vectors make an angle of 45 degrees with the positive x-axis.
 
Thanks a lot
 

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