The Scots, without a win in the Welsh capital since 2002, never recovered from conceding tries inside the first 12 minutes to Wales scrum-half Gareth Davies and full-back Leigh Halfpenny.
Peter Horne did grab a consolation try at the death for the visitors but Scotland were well and truly humbled on a final scoreline of 34-7 to Wales.
"The expectation down there on the Welsh team is huge, rugby is like a way of life down there, so like any away game you've got to try and start well".
The side is captained by Scarlets star John Barclay, with Hamish Watson and Cornell Du Preez making up the back-row.
Consistency is the key, and if they can beat a Wales squad riddled with injuries in Cardiff first up, Scotland will be in the mix for a first title triumph since 1999.
And Hogg - the Six Nations Player of the Championship in each of the last two seasons - has been tipped to make a big impact following his eye-catching return from injury in the Warriors' European Champions Cup win over Exeter Chiefs on January 20.
Wales started the second half brighter and forced a penalty out of the Scotland defence two minutes after the resumption. After all, they had beaten Australia by a record score and narrowly lost to New Zealand.
Scotland spent most of the opening six minutes inside Wales territory but were suddenly undone as Price's pass infield was seized upon by opposite number Davies, who raced away to score from 60 metres.
Halfpenny converted, before Wales nearly conjured a spectacular try when forwards Shingler, Hill, Rob Evans and Alun Wyn Jones combined brilliantly, but Steff Evans dropped Jones' pass just five metres from Scotland's line. Pic: Nigel French/PA Wire.
Wales nearly scored again immediately from the kick off, with a perfectly timed break by Aaron Shingler opening up Scotland's defence.
Harris will make his first start against Wales on Saturday after Townsend named the Newcastle man at outside centre, where he will partner Huw Jones.
Scotland's 36-year-old hooker Scott Lawson, who has not played an global since 2014, provides cover on the bench in a further reflection of the selection crisis among the forwards for coach Gregor Townsend.
They did not have to wait long, however, as Scotland were penalised for an illegal feed into the resulting scrum, allowing Wales to work it left and then back to the right for Halfpenny to crash over.
Steff Evans then sealed the deal through a spectacular diving one-handed finish, with Halfpenny's conversion ending Scottish misery and sending Wales to London next Saturday in confident mood.