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Vector Algebra and Calculus - University of Oxford

Solution of vector equations 2.20 •Find the most general vector x satisfying a given vector relationship. Eg x = x×a+b •General Method (assuming 3 dimensions) 1. Set up a system of three basis vectors using two non-parallel vectors appearing in the original vector relation-ship. For example a, b, (a×b) 2. Write x = λa+µb+νa×b