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cross: torque

dot: work

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Q: What are the applications of cross product and dot product in physics?
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What is the used of dot product and cross product in real life?

The dot-product and cross-product are used in high order physics and math when dealing with matrices or, for example, the properties of an electron (spin, orbit, etc.).


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) is an odd multiple of 90 degrees. This is considered a perpendicular condition. Dot product tests for perpendicular.


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, not a vector.The cross product is used to define torque (distance from the axis of rotation, times force). In this case, the product is greatest when the two vectors are at right angles. Also - as in any cross product - the result is also a vector.Several interactions between electricity and magnetism are defined as cross products.


Why we use sine angle in cross product while cos angle in dot product?

Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin


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.


What is the use of dot product in Physics and explain?

Dot Products in Physics denote scalar results fmo vector products, e.g Work = F.D = FDCos(FD) a scalar result from the dot product of two vectors, F Force and D Displacement.


Is work is the vector product of force and distance?

Yes and no. It's the dot product, but not the cross product.


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 are significance of Maxwell's first equatons?

the physics of dot product shows that the electrice field is leanear behavior.


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 seen). If the angle is negative, then the two vectors are pointing at each other and the triangle may need to be rendered. These methods not only apply to camera viewing, but also to lighting and physics calculations as well.


What is the product of two vector quantities?

It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.


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.