From Alta, continue E6 North.
Don’t opt for the Northcap, we had been there in 1981, but we didn’t find worth to travel all those many kilometers. The better option may be to follow E6 east at the crossing with road 94 (at Skaidi).
Norways only artic fjord is waiting for you, different in anyway to all the other Norwegian fjords…
If you have time, continue further on: Berlevåg is nearly as far north than Nordkappen, but you’ll find the way to Tanabru and and the road further on to the North direction Berlevåg is well worth to be done.