Newbie Matrix question

I have built a rotation matrix. When I multiply each vertex by hand and then do my gl.glVertex3f() calls, then it works for a simple test case. Do I have to do all this work by hand or is there some way to give OpenGL my rotation matrix and tell it to multiply each vertex vector by the rotation matrix? I've tried playing around with the gl.glLoadMatrixf( myRotMatrix ) calls but I can't seem to get it to work. Code below illustrates what im doing. // rotate triangle float[] rm = mm.joints[0].rotMatrix; float v11 = (rm[0] * v1[0]) + (rm[4] * v1[1]) + (rm[8] * v1[2] ) + rm[12]; float v12 = (rm[1] * v1[0]) + (rm[5] * v1[1]) + (rm[9] * v1[2] ) + rm[13]; float v13 = (rm[2] * v1[0]) + (rm[6] * v1[1]) + (rm[10] * v1[2] ) + rm[14]; float v21 = (rm[0] * v2[0]) + (rm[4] * v2[1]) + (rm[8] * v2[2] ) + rm[12]; float v22 = (rm[1] * v2[0]) + (rm[5] * v2[1]) + (rm[9] * v2[2] ) + rm[13]; float v23 = (rm[2] * v2[0]) + (rm[6] * v2[1]) + (rm[10] * v2[2] ) + rm[14]; float v31 = (rm[0] * v3[0]) + (rm[4] * v3[1]) + (rm[8] * v3[2] ) + rm[12]; float v32 = (rm[1] * v3[0]) + (rm[5] * v3[1]) + (rm[9] * v3[2] ) + rm[13]; float v33 = (rm[2] * v3[0]) + (rm[6] * v3[1]) + (rm[10] * v3[2] ) + rm[14]; // now do my gl.glVertex3f() calls.