[sblock=an example of a sorc/barb]
====== Created Using Wizards of the Coast D&D Character Builder ======
Hroetir Julmundsdottir, level 11
Human, Barbarian|Sorcerer, Winter Fury
Sorcerous Power: Sorcerous Power Strength
Hybrid Talent: Barbarian Armored Agility
Arcane Implement Proficiency: Arcane Implement Proficiency (heavy blade group)
FINAL ABILITY SCORES
Str 19, Con 14, Dex 11, Int 12, Wis 9, Cha 21.
STARTING ABILITY SCORES
Str 16, Con 13, Dex 10, Int 11, Wis 8, Cha 16.
AC: 27 Fort: 23 Reflex: 21 Will: 24
HP: 87 Surges: 9 Surge Value: 21
TRAINED SKILLS
Endurance +11, Intimidate +15, Arcana +11, Athletics +13
UNTRAINED SKILLS
Acrobatics +4, Bluff +10, Diplomacy +10, Dungeoneering +4, Heal +4, History +6, Insight +4, Nature +4, Perception +4, Religion +6, Stealth +4, Streetwise +10, Thievery +4
FEATS
Human: Hybrid Talent
Level 1: Arcane Implement Proficiency
Level 2: Weapon Proficiency (Bastard sword)
Level 4: Weapon Focus (Heavy Blade)
Level 6: Action Surge
Level 8: Deadly Rage
Level 10: Toughness
Level 11: Lasting Frost
POWERS
Bonus At-Will Power: Lightning Strike
Hybrid at-will 1: Dragonfrost
Hybrid at-will 1: Howling Strike
Hybrid encounter 1: Frostbind
Hybrid daily 1: Ice Javelins
Hybrid utility 2: Absorb Storm
Hybrid encounter 3: Blood Strike
Hybrid daily 5: Frost Wolf Rage
Hybrid utility 6: Loss of Will
Hybrid encounter 7: Rimestorm
Hybrid daily 9: White Tiger Rage
Hybrid utility 10: Sorcerous Pulse
ITEMS
Magic Hide Armor +3, Cape of the Mountebank +2, Vicious Bastard sword +3
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Obviously, there are almost limitless possibilities. Not knowing a race, I went with human.
I upgrade him with hybrid talent (barbarian agility) which gives him some AC bonuses and the ability to wear hide. Considering you said he was a viking-type, I went mostly with cold powers and a paragon path as well as a few feats to enhance that aspect a bit.
As for the Bastard Sword, I used another feat to give him that, and yet another for him to be able to use said bastard sword as an implement. That way, you can have him run around hitting people and casting spells, without having him change from implement to weapon all the time.
He is a bit more sorcerer than barbarian, but you could give him 18 str instead of 18 charisma at level to switch that around, if that is what you want. You could likewise have 2 barbarian at wills instead of two sorcerer at wills. The second sorcerer at will (lightning strike) could of course be anything. Likewise the feats at 6, 8, 10 could also be changed without any other changes to the character.
Now, with the powers mostly picked based on flavor, he is hardly optimized, likewise with the feats. But he has decent defenses and can do some damage for sure.
Skillwise he can pretty much pick anything.
I have no idea if this was any help, and if it was not at all helpful, no worries.
Cheers