Parallel & Perpendicular Vectors - Exam Style Question - 3D Vectors

We solve a typical exam style question on Parallel and Perpendicular Vectors, in which we have to find an unknown component for one of 2 vectors. For parallel vectors we find the unknown component using the fact that one of the vectors must be scalar multiples of each other. For perpendicular vectors we use the scalar product of two vectors.
This question was inspired by seeing this same question several times for the IB Standard Level Math Exam.
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Scalar Product:
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Radford Mathematics Home Page:
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