State the conditions when the dot product and cross product of two vectors Becomes zero
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Conditions are as follows :┐
• If two vector are perpendicular then the dot product must be zero.
• If two vector are parallel then the cross product must be zero.
• If two vector are perpendicular then the dot product must be zero.
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Answer:
If dot product is zero it means vectors lie perpendicular to each other. If cross product is zero, it means vectors lie along the same or opposite direction. These both can simultaneously be true only if the vector is null vector.
Explanation:
If dot product and cross product of
A
and
B
are zero, it implies that one of the vector
A
and
B
must be a null vector.
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