Why do all of the space probes launched travel within the plane of the solar system? Can we direct a probe perpendicular to the plane of the solar system and galaxy.
Everything that we can see with telescopes that is worth visiting is in the plane of the solar system. Why go to the time and expense of sending a probe out of the plane of the solar system when we understand so little about the other planets, and can have our problems study them?
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In fact we have got a probe flying out of the plane of the Solar System because Voyager 1 is heading out of the plane of the ecliptic, though admittedly not perpendicular to it. This wasn't deliberate, or at least it wasn't planned for. Voyager 1 was diverted to get a close view of Titan and a side effect of this was to send it out of the plane of the Solar System.
As Jerry says, there's nothing interesting out of the plane of the ecliptic until you start reaching nearby stars, which in Voyager's case will take about 40,000 years by which time it will be dead (along with you and me of course).