Yuri Gagarin was carried to space in the Vostok-1 spacecraft (a
Vostok 3KA spacecraft), which was carried into space onboard a
Vostok-K (more specifically a Vostok-8K72K) rocket.
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Vostok 1
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The space craft the 1st woman, Valantina Tereshkove was in when she went to space was the Vostok 3KA space craft.