Yes, if the dot product of two nonzero vectors v1 and v2 is nonzero, then this tells us that v1 is PERPENDICULAR to v2.
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Vectors are said to be orthogonal if their dot product is zero.Vectors in Rn are perpendicular if they are nonzero and orthogonal.
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.
Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.
It depends on what the dot product is meant to be equal to.
Their DIFFERENCE will be zero if and only if they have the SAME direction.
Vectors are said to be orthogonal if their dot product is zero.Vectors in Rn are perpendicular if they are nonzero and orthogonal.
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.
Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.
No, the zero would be too big that it would take years to finish it. Hope this helped.
It depends on what the dot product is meant to be equal to.
Their DIFFERENCE will be zero if and only if they have the SAME direction.
When the component vectors have equal or opposite directions (sin(Θ) = 0) i.e. the vectors are parallel.
A quantity which does not equal zero is said to be nonzero.
A nonzero whole number is a quantity which does not equal zero and number without fractions.
First of all, you have to define what you mean by "vector product".-- The "dot product" is zero if the vectors are perpendicular, regardless of their magnitudes.-- The "cross product" is zero if the vectors are collinear or opposite, regardless of their magnitudes.-- Perhaps when you say "product", you mean the "result" of two vectors, whicha mathematician or physicist would cal their "sum".The sum of two vectors is zero if their magnitudes are equal and their directionsdiffer by 180 degrees.An infinite number of other possibilities exist for a sum of zero, depending on themagnitudes and directions of two vectors.
Any nonzero number raised to the power of zero is equal to one (1).By definition.
When the dot product between two vectors is zero, it means that the vectors are perpendicular or orthogonal to each other.