Provide an appropriate response.Determine whether each statement below is true or false. If either statement is false, provide a counterexample.- If two vectors are perpendicular, then their dot product must be zero.- If two vectors are orthogonal, then they must also be perpendicular.
What will be an ideal response?
The second statement is false. If one of the vectors is the zero vector, then the vectors will be orthogonal but not perpendicular.
Mathematics
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