0
Yes, if the dot product of two nonzero vectors v1 and v2 is nonzero, then this tells us that v1 is PERPENDICULAR to v2.
:)
anon
Wiki User
∙ 12y agoOf course. If they're perpendicular, then their dot product is zero.
It doesn't matter how big they are.
Add your answer:
Earn +20 pts
What is the importance of a dot product being equal to zero?
Vectors are said to be orthogonal if their dot product is zero.Vectors in Rn are perpendicular if they are nonzero and orthogonal.
Can A plus B equal zero when A and B have nonzero magnitudes?
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.
Two vectors have nonzero magnitudeunder what conditions will their sum be zero?
Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.
What is the angle in which the dot product of two non zero vectors is equal?
It depends on what the dot product is meant to be equal to.
Two vectors have nonzero magnitudeunder what conditions will their difference be zero?
Their DIFFERENCE will be zero if and only if they have the SAME direction.
What is the importance of a dot product being equal to zero?
Vectors are said to be orthogonal if their dot product is zero.Vectors in Rn are perpendicular if they are nonzero and orthogonal.
Can A plus B equal zero when A and B have nonzero magnitudes?
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.
Two vectors have nonzero magnitudeunder what conditions will their sum be zero?
Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.
Can two nonzero perpendicular vectors equal zero?
No, the zero would be too big that it would take years to finish it. Hope this helped.
What is the angle in which the dot product of two non zero vectors is equal?
It depends on what the dot product is meant to be equal to.
When is a cross product zero?
When the component vectors have equal or opposite directions (sin(Θ) = 0) i.e. the vectors are parallel.
Two vectors have nonzero magnitudeunder what conditions will their difference be zero?
Their DIFFERENCE will be zero if and only if they have the SAME direction.
What is a nonzero number?
A quantity which does not equal zero is said to be nonzero.
What are different conditions that could make vector product zero?
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.
What is a nonzero whole number?
A nonzero whole number is a quantity which does not equal zero and number without fractions.
Any nonzero number raised to the power of zero is equal to?
Any nonzero number raised to the power of zero is equal to one (1).By definition.
Dot product of two vectors is equal to cross product what will be angle between them?
(A1) The dot product of two vectors is a scalar and the cross product is a vector? ================================== (A2) The cross product of two vectors, A and B, would be [a*b*sin(alpha)]C, where a = |A|; b = |B|; c = |C|; and C is vector that is orthogonal to A and B and oriented according to the right-hand rule (see the related link). The dot product of the two vectors, A and B, would be [a*b*cos(alpha)]. For [a*b*sin(alpha)]C to equal to [a*b*cos(alpha)], we have to have a trivial solution -- alpha = 0 and either a or b be zero, so that both expressions are zeroes but equal. ================================== Of course one is the number zero( scalar), and one is the zero vector. It is a small difference but worth mentioning. That is is to say if a or b is the zero vector, then a dot b must equal zero as a scalar. And similarly the cross product of any vector and the zero vector is the zero vector. (A3) The magnitude of the dot product is equal to the magnitude of the cross product when the angle between the vectors is 45 degrees.
