Question
Given two nonzero vectors v and w, v can be decomposed into two vectors , one parallel to w and the other orthogonal to w.
Given two nonzero vectors v and w, v can be decomposed into two vectors , one parallel to w and the other orthogonal to w.
True or False
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Koala Tutor
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True.
This statement is true. Any vector v can be decomposed into two components: one parallel to another vector w and the other orthogonal (perpendicular) to w. The parallel component is found by projecting vector v onto vector w, while the orthogonal component is obtained by subtracting the parallel component from vector v.
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