If dot product of two vector is zero. What result can be draw from it?
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Answer:
result is- Two vectors are at an angle of 90 degrees
Explanation:
Formula of dot product in - A * B* Sin[tita]. As sin[90] is '0' . Then answer is zero .
If dot product is '0'. Then two vectors are perpendicular to each other
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The following results can be inferred from the given statement " dot product of 2 vectors is zero ":
- If 2 vectors a and b are given, then the dot product of these 2 vectors is given by [ I a I. I b I. Cos θ ], where I a I and I b I are the magnitudes of both the vectors given and θ is the angle between the 2 vectors.
- Whatever the case is, the magnitude of the vectors cannot be zero except for the zero vectors.
- So to get the dot product of 2 vectors zero Cos θ must be equal to zero and hence the θ must be equal to 90°.
- Hence if the dot product of 2 vectors is zero, then the given vectors must be perpendicular to each other.
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