No, you should not give human vitamins to your dog unless your veterinarian specifically recommends them. Human vitamins may contain ingredients or dosages that are unsafe for dogs. For example, some supplements contain excessive amounts of vitamin D or iron, which can be harmful, and sugar-free products may contain xylitol, which is toxic to dogs.
If you think your dog needs a vitamin supplement, it's best to choose one formulated specifically for dogs and based on their individual needs. Many dogs eating a complete and balanced diet do not require additional vitamins.
If your dog has accidentally eaten human vitamins, contact your veterinarian promptly, especially if you're unsure how much was consumed or if the product contains iron, vitamin D, or xylitol.