Vectors

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In triangle OAB, OA = 3i + 4k and
OB = i + 2j - 2k. Find OP, where P is the point where the bisector of Angle AOB intersects AB.

Answer is 7i/4 + 5j/4 + k/4

Don't use the matrix method as I haven't learnt it yet and please show working. Thx a lot.

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