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If the dot product of two nonzero vectors v1 and v2 is zero, what does this tell us?

A. v1 = v2

B. v1 is parallel to v2.

C. v1 is perpendicular to v2.

D. v1 is a component of v2.

2 Answers

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If the dot product of two nonzero vectors v1 and v2 is zero, then v1 is perpendicular to v2 is what can be concluded. The correct option among all the options that are given in the question is the third option or option "C". I hope that this is the answer that has actually come to your desired help.
User Jpf
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By definition we have to:
In mathematics, the scalar product, also known as internal product, inner product or point product, is an algebraic operation that takes two sequences of numbers of equal length (usually in the form of vectors) and returns a single number.
The point product is given by the formula:

v1.v2 = |v1||v2|cos \alpha
When the point product is zero, then the cosine of the angle is equal to zero. Therefore, the vectors are perpendicular.
Answer:
C. v1 is perpendicular to v2.
User J Carroll
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