Christopher Dorner — Alleged Cop Killer — Shops for Scuba Gear 2 Days Before Murders (VIDEO)

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Alleged cop killer Christopher Dorner went to a Southern California sporting goods store 2 days before he began his murder spree to purchase scuba equipment … and our sources has obtained the surveillance video.

Dorner went to Sports Chalet in Torrance — a beachside community in the L.A. area — on February 1st.  The video shows Dorner carrying in 2 small, yellow scuba tanks as he walks into the scuba section.  Sources tell us … Dorner got the tanks refilled with oxygen.

The video then shows Dorner leaving the scuba section with the 2 yellow tanks, along with another large, black scuba tank.  Dorner then goes to the counter, and then has a friendly conversation with the cashier, at times laughing.

Dorner — who was a member of a Naval undersea warfare unit — pays cash for the items and then leaves.

The surveillance tape shows Dorner arriving at Sports Chalet at 9:21 PM and leaving at 9:38 PM, just as the store closed.

The bodies of the first 2 victims were found at 9 PM on February 3rd — 48 hours after Dorner”s trip to Sports Chalet.

What”s really interesting … Dorner reportedly tried stealing a boat in San Diego on February 6th … where scuba gear might come in handy.  The plan was thwarted when the prop got tangled in a rope.

Sources tell our sources … the U.S. Marshals went to Sports Chalet Sunday and got a copy of the surveillance video. 

Law enforcement sources involved in the case have confirmed to our sources … the man in the video is indeed Dorner.  And, as one law enforcement source put it, the video is significant because “it shows what he was up to.”