# in what components dot and cross product resolve?

A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.

### When you use cross product and dot product in vector?

Dot product and cross product are used in many cases in physics. Here are some examples: Work is sometimes defined as force times distance. However, if the force is not applied in the direction of the movement, the dot product should be used. Note that here - as well as in other cases where the dot product is used - the product is greatest when the angle is zero; also, the result is a scalar…

### What are the applications of cross product and dot product?

Cross product tests for parallelism and Dot product tests for perpendicularity. Cross and Dot products are used in applications involving angles between vectors. For example given two vectors A and B; The parallel product is AxB= |AB|sin(AB). If AXB=|AB|sin(AB)=0 then Angle (AB) is an even multiple of 90 degrees. This is considered a parallel condition. Cross product tests for parallelism. The perpendicular product is A.B= -|AB|cos(AB) If A.B = -|AB|cos(AB) = 0 then Angle (AB)…

### 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…

### What is the difference between the ''dot product'' and the ''cross product''?

Dot Product: Given two vectors, a and b, their dot product, represented as a ● b, is equal to their magnitudes multiplied by the cosine of the angle between them, θ, and is a scalar value. a ● b = ║a║║b║cos(θ) Cross Product: Given two vectors, a and b, their cross product, which is a vector, is represented as a X b and is equal to their magnitudes multiplied by the sine of the angle…

### What is the difference between a 'dot product' and a 'cross product'?

Dot Product: Given two vectors, a and b, their dot product, represented as a ● b, is equal to their magnitudes multiplied by the cosine of the angle between them, θ, and is a scalar value. a ● b = ║a║║b║cos(θ) Cross Product: Given two vectors, a and b, their cross product, which is a vector, is represented as a X b and is equal to their magnitudes multiplied by the sine of the angle…

### What is cross-product and dot-product?

Cross products and dot products are two operations that can be done on a pair of 2-dimensional, 3-dimensional, or n-dimensional vectors. Both can be viewed in terms of mathematics or their physical representations. The dot product of two three-dimensional vectors A=<a1, a2, a3> and B=<b1, b2, b3> is a1b1+ a2b2 + a3b3. The definition in high dimensions is completely analogous. Notice that the dot product of two vectors is a scalar, not a vector. The…

### Who is the commutative property in dot and cross product?

The cross product results in a vector quantity that follows a right hand set of vectors; commuting the first two vectors results in a vector that is the negative of the uncommuted result, ie A x B = - B x A The dot product results in a scalar quantity; its calculation involves scalar (ie normal) multiplication and is unaffected by commutation of the vectors, ie A . B = B . A

### Name any uses for dot product or cross product in video games?

The cross product is used to find surface normals of triangles (the building blocks of objects in 3D games). Those surface normals can then be used in dot product tests with the camera to test if the normal is facing the camera or not. If the dot product angle is positive then the normal is facing the same direction as the camera, so the triangle does not need to be drawn (because it cannot be…

### Is the sum of the square of cross and dot products equal to the square of their product?

Your question makes no sense.... What you meant to say is: Is the sum of the square of magnitude of the cross product and the square of dot product of two vectors equal to the product of the square of their magnitudes? i.e: |A x B|2 +(A .B)2 = |A|2|B|2 The answer is YES. It is called Lagrange's identity and is a special case of the Binet-Cauchy identity. (Ax B) .(Cx D)+(A.D)(B.C)=(A.C)(B.D) Where A= Cand…

### What are the properties of a dot product?

In mathematics, the dot product is an algebraic operation that takes two equal-length sequences of numbers (usually vectors) and returns a single number obtained by multiplying corresponding entries and adding up those products. The name is derived from the interpunct "●" that is often used to designate this operation; the alternative name scalar product emphasizes the scalar result, rather than a vector result. The principal use of this product is the inner product in a…

### Can dotproduct of two vectors be negative?

The dot-product of two vectors tells about the angle between them. If the dot-product is positive, then the angle between the two vectors is between 0 and 90 degrees. When the dot-product is negative, the angle is more than 90 degrees. Therefore, the dot-product can be any value (positive, negative, or zero). For example, the dot product of the vectors and is -1*1+1*0+1*0 = -1 which is negative.

### What is dot products and give some examples?

A Dot product is a very useful tool in both mechanics and 3D graphics. It calculates the cosine of the angle between two vectors. In two-dimensional space, the dot product of vectors [a, b] and [c, d] is ac + bd. Mechanical work is the dot product of force and displacement vectors. Magnetic flux is the dot product of the magnetic field and the area vectors.

### What is the math defition for cross product?

the cross product is the multiplication of to vectors which results in another vector unlike the dot product witch equals a scalar the you-tube videos below give more detail http://www.youtube.com/watch?v=KDHuWxy53uM&feature=youtube_gdata http://www.youtube.com/watch?v=E34CftP455k&feature=youtube_gdata http://www.youtube.com/watch?v=enr7JqvehJs&feature=youtube_gdata

### What does the x stand for in maths?

At the lower levels it stands for multiplication, at more advanced levels it stands for the cross product of vector multiplication (in three or seven dimensions). The multiplication operator can also be a dot on the line ( . ), a dot above the line ( 𝆴 ), an asterisk ( * ), and probably some other symbols as well.

### When is a dot product one?

Lots of pairs of vectors have a dot product of one: [1,1,1], [1,0,0] [1,0,0], [1,0,0] [3,-1,-1], [1,1,1] [0,2,-1], [0,2,3] In itself, a dot product of one is not very significant; it does not tell you very much about the vectors. Only that the sum of the products of corresponding elements is one. A dot product of zero is more informative because it implies that the vectors are orthogonal. Please see the link.

### What do the custom requirement to import food products?

This will vary dramatically depending upon the food product, the packaging, the intended use of the product and the country it is coming from. For meat and poultry products, you can check on www dot fsis dot usda dot gov - on the right-hand side there is a link to "Import or Export Meat and Poultry Products" that will take you to information about the product. For most other foods, I would recommend starting at…