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The cross product is a mathematical operation between two vectors in three-dimensional space that results in a third vector. This new vector is perpendicular to the plane formed by the original two vectors and its magnitude is equal to the area of the parallelogram defined by them. The direction of the cross product follows the right-hand rule, indicating the orientation of the resulting vector. It is commonly used in physics and engineering to compute torque, angular momentum, and to find normals to surfaces.
What else can I help you with?
What are the applications of cross product and dot product in physics?
cross: torque dot: work
What is the geometrical meaning of cross product?
The cross product can be said to be a measure of the 'perpendicularity' of the vectors in the product. Please see the link.
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.
Cross product is?
Cross product is a mathematics term when there is a binary operation on two vectors in three-dimensional space.
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 cross product of a vector itself?
0 is a cross product of a vector itself
What are the applications of cross product and dot product in physics?
cross: torque dot: work
What is the derivative of the cross product with respect to a given variable?
The derivative of the cross product with respect to a given variable is a vector that represents how the cross product changes as that variable changes.
What is the geometrical meaning of cross product?
The cross product can be said to be a measure of the 'perpendicularity' of the vectors in the product. Please see the link.
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.
Why the cross product of two vectors in plane is directed perpendicular to the plane?
because that is the def. of a cross-product!
Cross product is?
Cross product is a mathematics term when there is a binary operation on two vectors in three-dimensional space.
What happens to the cross products when the terms of a proportion are cross multiplied?
The cross product is created.
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.
Can a proportion be equal if the cross products are not equal?
No. A cross product is just a way of simplifying a proportion. If the cross product aren't equal, it follows logically that the proportion isn't equal.
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
The product of numbers on the diagonal when comparing two ratios?
cross product.
