NMAC BTWN A DASSAULT 50 ON AN ENRTE CHANGE OF ALT CLB AND A MIL KC135 CLBING THROUGH THEIR FLT PATH TO AN ALT OF WHICH THE D50 WAS JUST VACATING.

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WE WERE LEVEL AT 11000 FT ON THE AIRWAY ENRTE TO PSP. WE CHKED THE MEA'S TO ENSURE WE COULD CROSS THE MOUNTAINS AHEAD. THE PF FELT A HIGHER ALT WAS NEEDED; SO I REQUESTED 13000 FT FROM CTR. WE WERE CLRED TO 13000 FT AND IN THE CLB SAW A KC135 TRAVELING FROM OUR L TO R (SBOUND). WE GOT A TA ON THAT TFC. THAT SHORTLY TURNED INTO AN RA. THE INSTRUCTIONS WERE TO CLB; BUT THE PF MADE NO CORRECTING ACTIONS. I MADE A VERBAL COMMAND TO CLB; MORE THAN ONCE; AND HE JUST LOOKED AT ME. THE TA/RA WENT AWAY VERY FAST AND WAS OVER IN LESS THAN 10-15 SECONDS. WHILE THIS WAS GOING ON; CTR WAS (OR JUST AFTER) GIVING US A FREQ CHANGE. I CHKED IN AND INQUIRED ABOUT THE KC135. HE WAS IN A CLB ALSO; AND WAS CLBING TO 11000 FT -- OUR VACATING ALT. I INQUIRED ABOUT THE TFC BUT DID NOT SAY TOO MUCH BECAUSE WE DID NOT RESPOND TO THE RA. BECAUSE THERE WAS NOT ANY ADDITIONAL TFC IN THE AREA; ABOVE OR BELOW; I FEEL THERE WAS LITTLE HARM DONE. HOWEVER; I DID EXPLAIN TO THE PF HOW IMPORTANT IT IS TO RESPOND TO AND RPT ANY RA'S.