QUESTION IMAGE
Question
multiple choice question
components are projections of a vector parallel to the x - axis and parallel to the y - axis. this means that the components of a vector are ______ to each other
perpendicular
collinear
opposite
parallel
The x - axis and y - axis are perpendicular to each other. When we take the projections of a vector onto these axes (the components of the vector), these components inherit the perpendicular relationship of the axes. Collinear means lying on the same line, opposite is about direction in a straight - line sense (not applicable here as axes are not in a straight - line opposite relationship for components), and parallel would mean the components lie on the same line which they don't (since x and y axes are perpendicular).
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perpendicular