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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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โˆ™ 2021-04-09 21:15:26
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โˆ™ 2011-08-08 14:11:56

Of course. If they're perpendicular, then their dot product is zero.

It doesn't matter how big they are.

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Q: Can the dot product of two nonzero vectors be equal to zero?
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Related questions

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.


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.


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.


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.


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.


What is a nonzero whole number?

A nonzero whole number is a quantity which does not equal zero and number without fractions.


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.


What is a nonzero number?

A quantity which does not equal zero is said to be nonzero.


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.


Can the resultant of two vectors be equal to zero?

Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.


When the angle between two vectors is equal to zero?

When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.


What is the least number of non-zero vectors that can be added to give a resultant equal to zero?

Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.


If Three vectors are co-planner then there product is?

Zero


What is the dot product of two perpendicular vectors?

zero is the answer


Dot product of two perpendicular vectors?

Zero.


What does any nonzero raised to the zero power equal?

Any number raised to the power of zero is always equal to 1


Why you use cosine theta with cross product?

Normally you use sine theta with the cross product and cos theta with the vector product, so that the cross product of parallel vectors is zero while the dot product of vectors at right angles is zero.


What is the value of any nonzero base raised to the zero power?

The value of any nonzero number raised to the zero power will equal positive one (1).


Is it is possible to add three vectors of equal magnitude and get zero?

Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.


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.


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)


If any nonzero raised to the power of zero is equal to?

It is always 1


Is any nonzero number divided by 0 equal 0?

You CAN'T divide by zero.