answersLogoWhite

0


Best Answer

Vectors are said to be orthogonal if their dot product is zero.

Vectors in Rn are perpendicular if they are nonzero and orthogonal.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the importance of a dot product being equal to zero?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

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.


What is the product of all whole numbers except zero that are less than or equal to a number?

The product of all whole numbers except zero that are less than or equal to a numbr is a factorial number.


How does the zero product rule help you solve quadratic equations?

Factor it! Set each equal to zero! Solve


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.


How do you get product of the zero?

multiply anything by zero and your product will be zero!

Related questions

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.


What is the product of all whole numbers except zero that are less than or equal to a number?

The product of all whole numbers except zero that are less than or equal to a numbr is a factorial number.


How does the zero product rule help you solve quadratic equations?

Factor it! Set each equal to zero! Solve


What is the product of a number and its reciprocal?

The product would be 1, unless the number is zero in which case there is no solution because no number can be multiplied by zero and equal 1.


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 1x0 equal?

When any number is multiplied by zero, the product is zero.


How do you get product of the zero?

multiply anything by zero and your product will be zero!


What is a example of products?

A non-example of a product is where it equals 0. This is called zero-product property. This is the property of two non-zero elements being zero. In chemistry, it would be any substance which is a reactant.


Is zero less than or equal to zero?

Zero is equal to zero


When does the product of 2 integers equal zero?

When one or both of the integers is/are zero.a*b=0 if a=0, b=0, or both a and b are equal to 0. In other words, if one or both integers are zero.


What is another name for the zero property of multiplication?

The zero property is also called the "zero product property." The property states that any real number times 0 is always equal to 0.


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. :)