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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.
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.
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 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!
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.
The product of numbers on the diagonal when comparing two ratios?
cross product.
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
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.
Is work is the vector product of force and distance?
Yes and no. It's the dot product, but not the cross product.
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.).
