Science is pure, it is about knowledge - how and why things behave the way they do.
Engineering is applied, it uses scientific knowledge to engineer a solution to some problem.
For example, a scientist might measure the strength of bars made from various materials and of various sizes, determine a law expressing how much each material deforms under various loads and then attempt to explain the law in terms of more fundamental principles. An engineer designing a window lintel could use that information to determine of what material and how large the lintel should be.
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