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Is this a healthy weight loss program?

Does this meal plan sound healthy? Egg whites, wheat toast & fruit for breakfast. Lunch will be a nice big salad and fruit. And dinner will mostly vary from day to day. And snacks will be either fruit or a pouch of those 100 calorie snack bags. Also, I drink nothing but water and I don't eat sweets. My workouts will be like this: Cardio every morning and strength training with some dumbbells I have here at home 3 days a week.

Does this sound like it will work and be healthy enough for me to lose weight? And, should I take a multi vitamin everyday? If so, which one should I take based on this info:
*20 yrs old
*female
*vegetarian