The motorcyclist, a woman in her 50s, and the driver of a Fiat Doblo crashed at traffic lights at the junction in The Avenue, Fareham at about 13:00 BST.
She was pronounced dead at the scene. The woman driving the Fiat was not seriously injured.
The eastbound carriageway was closed for several hours with drivers urged to follow diversions. The westbound carriageway remained open.

The Horizons project has already helped two dozen acts since 2014 - with radio airplay and UK festival appearances.
"Supporting new music is at the heart of what the BBC does across the whole of the UK, and internationally," said BBC Music's Jason Carter.
Bands and solo artists have until 12 February to apply.
"We're proud to support Horizons for a further year and see another 12 artists have a creative and potentially career changing 2016," said the Arts Council's Lisa Matthews.
"There's been some incredible opportunities created so far and we're looking forward with excitement to more incredible music experiences."
Solo artist Violet Skies said the 2015 project had meant a "mad year" for her.
She said: "I've been lucky enough to tick off a lot of things from my musical bucket list - The Great Escape, Festival No.6, SÅµn, Maida Vale and now, I'm looking forward to Eurosonic and SXSW festival in 2016.
"It's been a lovely little Welsh family of talented musicians and a really good support team - it's nice to turn up at festivals or a show knowing you have people there to help you."

Angus MacColl was victorious at the solo competition, which was held at Blair Castle in Perthshire.
To win the accolade, Mr MacColl performed against nine of the best pipers in the world.
The competition was in its 42nd year, with Mr MacColl winning the event for the fourth time.
He said: "All competitors are part of a close knit community where we often get to compete in various piping competitions.  As a result, we each know just how tough competing in the Glenfiddich Championship is going to be.
"Everyone has worked and competed hard to earn their place here, therefore to win amongst such talent is an incredible honour."
The Glenfiddich Piping Championship was established in 1974 to bring together the world's finest pipers.
Competitors are invited to compete having won prestigious accolades at other piping events during the past year.
A motorcyclist has died in a crash with a car in Hampshire.
[NEXT_CONCEPT]
A scheme to help new Welsh bands get wider exposure is set to return for a third year, backed by BBC Wales and the Arts Council of Wales.
[NEXT_CONCEPT]
A piper from Oban has won the prestigious Glenfiddich Piping Championships.