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What else can I help you with?
What is a nonzero number?
A quantity which does not equal zero is said to be nonzero.
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.
What does any nonzero raised to the zero power equal?
Any number raised to the power of zero is always equal to 1
Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
Explain Why the product of two nonzero absolute values is always a positive number?
The absolute value of a number is its distance from zero on the number line, so it is always non-negative. When you multiply two nonzero absolute values, you are essentially multiplying two non-negative numbers together. In multiplication, a positive number multiplied by a positive number always results in a positive number, hence the product of two nonzero absolute values is always positive.
Can the dot product of two nonzero vectors be equal to zero?
Yes, if the dot product of two nonzero vectors v1 and v2 is nonzero, then this tells us that v1 is PERPENDICULAR to v2. :)
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.
How do you determine that two vectors are perpendicular?
Two vectors are perpendicular if their dot product is equal to zero. Mathematically, for two vectors (\mathbf{a}) and (\mathbf{b}), this can be expressed as (\mathbf{a} \cdot \mathbf{b} = 0). In a geometric sense, this means that the angle between the vectors is 90 degrees. If the dot product is not zero, the vectors are not perpendicular.
When are vectors said to be perpendicular?
Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
A vedtor which is perpendicular to every vector?
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
What is the dot product of two perpendicular vectors?
zero is the answer
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.
Dot product of two perpendicular vectors?
Zero.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
What is a nonzero number?
A quantity which does not equal zero is said to be nonzero.
