ZOA CTLR EXPERIENCED OPERROR AT FL320 BETWEEN ACFT CLIMBING AND ARR DESCENDING; FAILING TO JUDGE NEEDED LATERAL DISTANCE BETWEEN THE TWO.

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I WAS WORKING R31/R36 COMBINED WITH 1 HR LEFT IN MY SHIFT. ACR X WAS CLBING TO FL300 AT PLT'S REQUEST. ACFT Y WAS DIRECT SJC DSNDING TO FL310 FOR TFC ACR X. ACR X REQUESTED FL320 FOR TURB. I ISSUED THE CLB CLRNC TO ACR X; THEN INITIATED A VECTOR ON ACFT Y. I DID NOT GET A READBACK FROM ACFT Y. FURTHERMORE; I WAS NOT AWARE THAT I HAD ISSUED AN INCORRECT VECTOR OF 15 DEGS R TO ACFT Y UNTIL THEY RESPONDED ON THEIR SECONDARY RADIO AFTER 3 MORE CALLS. I THEN TOOK 2 POINTOUTS FROM SECTOR 32 AND 43 AS WELL. AT THAT TIME I HAD MADE 2 CALLS TO THE ACFT Y WITH NO RESPONSE; AND INITIATED A 40 DEG L TURN ON ACR X. CONFLICT ALERT ACTIVATED AND SEPARATION WAS LOST. SEPARATION WAS REGAINED APPROX 10 SECONDS LATER. I TAKE FULL RESPONSIBILITY FOR MY MISTAKE IN THIS SITUATION. I SHOULD HAVE VECTORED THE ACR X FLT FOR CLB PRIOR TO CLB CLRNC. THIS IS A TECHNIQUE I USE EVERY DAY. THIS WAS AN UNCHARACTERISTIC MOVE ON MY PART AND I HAVE LEARNED TO SCAN BETTER WHEN TIRED. I FEEL MY PERSONAL FATIGUE CAUSED MY SITUATION.