<prompt> Tafuta matrix mathbfP ambayo kwa vekta yoyote mathbfv, mathbfP mathbfv ni makadirio ya mathbfv kwenye y -mhimili.  <response>: Makadirio ya mathbfP inachukua beginpmatrix x y z endpmatrix hadi beginpmatrix 0 y 0 endpmatrix.asykuagiza tatu;ukubwa 180;makadirio ya sasa mtazamo 6,3,2;mara tatu I 1,0,0, J 0,1,0, K 0,0,1, O 0,0,0;mara tatu V 2.2,2.5,1.5, W 0,2.5,0;kuchoraV--W,dashed;choraO--V, nyekundu, Mshale36;kuchoraO--W,bluu, Mshale36;kuchoraO--3I, Arrow36;chora2.5J--3J, Arrow36;choraO--3K, Arrow36;lebox, 3.2I;leboy, 3.2J;leboz, 3.2K;lebomathbfv, V, NE;lebomathbfw, W, S;asyHivyo,mathbfP mathbfi anzapmatrix 0 0 0 mwishopmatrix, quad mathbfP mathbfj anzapmatrix 0 1 0 mwishopmatrix, quad mathbfP mathbfk anzapmatrix 0 0 0 mwishopmatrix,hivyomathbfP anzapmatrix 0 0 0 0 1 0 0 0 0 endpmatrix. 