In what cases is the projection of the vector onto the axis maximum, and in what cases is it minimum?

In what cases is the projection of the vector onto the axis maximum, and in what cases is it minimum? Is it possible to position a vector on a plane so that both the projection onto the X-axis and the projection onto the Y-axis have maximum values?

The projection of the vector onto the axis is maximum when the vector is parallel to the axis, and minimum when the vector is perpendicular to the axis.
You cannot position the vector so that both the projection on the X axis and the Y axis have their maximum values.

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