There are two approaches I would consider:

First, the hidden vegetables.  Blend them up in soups or in marinara sauces.  HIDE them where the child doesn't even know.

Second, just keep putting them in front of her even if she doesn't eat them.  Continue to expose her to them on her plate.  Studies show that eventually, a child will come to accept something they've been exposed to often enough.  Oh, sometimes it may take YEARS (LOL) but it does often work that way.

I don't force my kids to eat ANYTHING but I do ask that they put some on their plate, even just a tiny bit.  And then the power struggle is OFF because I think that the harder I try, the harder they resist.

I "refuse" to allow my new son to be a picky eater , haha ... I have read to try things over and over ... Also, the things I do : I eat with my boy and smile and try things like peas (that I absolutely hate, but smile anyway) ... I create a lot of variety, so he never "knows" what he is getting so he eats a few bites at least , I try different textures of the same thing ... He will not eat whole cooked baby carrots but will eat pureed cooked baby carrots. In my opinion kids love sweets and fruits are naturally sweet. So kids have no problem eating fruits. Some sweet vegetables are carrots, sweet potatoes, peas ... etc. ... The gagging in my experience comes from too much in the mouth at one time. Not because of rejecting the food. Babies have a very sensitive gag reflex to keep from choking . My boy sometimes will chew and not swallow and then his mouth is full then he gags, then he is okay (after spitting out a mouthful all over his new pj's ... haha   )    My boy wants to feed himself and hates the spoon at the moment, so I have been choosing veggies like canned green beans that are squishy enough for him to eat and he can feed himself. Babies love their independence ... do not give up ! I am not giving up ! I "refuse" to have a picky eater ! 

Also, depending on the age of your child ... the babies get to a point of not needing to eat as much ... and they do stop growing as fast after year one ... I generally have been going by that the baby can only eat as much as the size of the fist ... portions ! Keep that in mind also ...

Is the texture of the vegetables the same as the fruit?
If not it may be a texture issue. - If this is the case see the answers to questions about a Speech Pathologist for lumps in the Q&A section posted a few days ago)
Otherwise it may be that she likes the sweetness of the fruit in which case have you tried mixing the fruit and vegetables?  (ensure that they are all the same texture) or try sweet vegetables such as sweet potato (mix a bit of apple in for extra sweetness if need be)
I have been told by dieticians that we need to encourage kids to try new foods multiple times (10+).

I have heard of Parents  who use a food processor and us it to add to different things like spaghetti sauce and such.  I even seen this one lady in particular use broccoli and green beans pureed to make stews and sauces thicker without the child having to taste or feel the texture of vegtables.  I am offer ing this up to you as something I never tried but people have sworn by it.

Good luck weeokwan

Thanks everyone for your answers. I tried feeding her 2 spoon fulls of fruit then one of vegetables today at lunch. I think she knew the different because as soon as I put it in her mouth, she started to gag. Poor little girl. I'll keep trying though.

Thank you all!!

My son does not eat 98.9 percent of veges so I have found some vitamans that he is happy to eat as they are in a shape of a space man.

www.NaturesOwn.com.au

He is having multi which is orange flavour and the echinacea complex is chocolate.  I bought the later as he was suffering bad with sinus.

I still try to get him to eat fruit and that is hard to find fruits that he will eat.  His tastes change.  At the momment he has a fetish for strawberries.

I was told not to worry kids will eat what they need.

O

I used to work with children around the same age and most children do know what they like or dislike, but we used to mash the veg into the potato or gravy so it couldn't be seen.  Most of the time though they would just look at you as if they were saying 'I know what you've done' the odd time it worked.

Another thing you can get them vegetable fingers like fish fingers, try to make your own (so you know whats in them) don't let on,they just might be interested in this new food, even if they just play with it at the start, to get them familiar with it

It's hard to tell at this age whether it's the taste or the texture of the veggies that are bothering her.  Does she when you feed her the sweeter veggies, such as sweet potatoes or is it with all veggies.   Does she take formula or breast milk.  Ususally experts (whoever they are ) recommend that the primary source of nutrition come from formula or breast milk.  Perhaps she is just not quite ready for the texture of the veggies.  Don't give up, just try again in about a month or so.  In the meantime, if you're concerned you can give her a liquid vitamin called Polyvisol.  Speak to your pharmacy.

Hang in there.

Have you tried boiling the veggies and than giving it to your child?  I had to do that with our son. I would boil up carrots, potatoes,celery, peas. and let him go nuts with them. He would make a mess, but he did get some of it in his tummy. If you make a stew you could pick some of the veggies out than freeze them for the next meal. I put the steamed veggies in a ice cube tray, threw them in the freezer untill next supper time.

I would also try some so my son would see me eating it, than he would. Sharing techinique.LOL

Let us know how it the veggie battle goes.

We have the exact same problem with our son...except he gags when we try to give him fruit. You might want to try:

-Try feeding her "lighter" veggies. Vegetables that are light in color like squash or peas aren't nearly as strong and your baby might be more likely to try those

-Alternate spoonfuls. Try giving a spoonful of fruit, and then some veggies. Or two spoonfuls of fruit with another of veggies. Make her forget you're feeding her veggies and then get that one spoonful in. If your baby is older, don't do this...trickery isn't all that good a parenting tactic

-Keep trying. It takes 10 feedings sometimes to develop a taste for it. My son hated apples, which was the first fruit we gave him. After two weeks of other fruits and getting used to the fruit taste, he now likes apples.

-Let her explore herself. Might get messy, but let her put her hands into the food and suck on her fingers herself.