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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.
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.
When is a cross product zero?
When the component vectors have equal or opposite directions (sin(Θ) = 0) i.e. the vectors are parallel.
What is a nonzero number?
A quantity which does not equal zero is said to be nonzero.
What is a nonzero whole number?
A nonzero whole number is a quantity which does not equal zero and number without fractions.
What are different conditions that could make vector product zero?
The vector product (cross product) of two vectors will be zero when the vectors are parallel or antiparallel to each other. This means the vectors are either pointing in the same direction (parallel) or in opposite directions (antiparallel).
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.
