math - Calculate forward and up vectors from euler position and rotation? -

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i have object in 3d space have euler position , rotation. how can calculate forward , vectors information have?

i know can calculate forward vector in way:

vector3 forward = (target.getposition() - object.getposition()).normalize();

.. target point along axis object looking. using information have, how can pick arbitrary point in way normalize?

i'm not sure how go solving "up" vector @ all.

first create transform matrix euler angles (with same method using while rendering). extract axises vectors forward , directly. example view matrices uses z axis forward/backward , x axis left/right use two. find location of vectors here:

understanding 4x4 homogenous transform matrices


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