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persia7
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can you show me derive cross product from dot product?
It seems you are not quite familiar with the freedom we have in what we choose to DEFINE, and what is then to be DERIVED.persia7 said:why did u say what don't know
And? So what?persia7 said:blogger has shown how u can achieve a formula first before know the definition
I found that site rather ugly. The analysis was overly long and inelegant, and left hand rule? Please!arildno said:t is a bit about developing a flexibility in your mind, and the blogger had a nice little post on how to start out geometrically and fiddle out the correct formula for the dot product.
Read your private messages. Stop using text speech.persia7 said:blogger has shown how u can achieve a formula first before know the definition
The cross product, also known as the vector product, is a mathematical operation between two vectors that results in a third vector that is perpendicular to both of the original vectors.
The cross product and the dot product are both operations between two vectors, but they have different results. The cross product results in a vector, while the dot product results in a scalar (a single number).
Yes, the cross product can be derived from the dot product using the properties of vectors and trigonometric identities. This derivation involves using the sine and cosine functions to find the magnitude and direction of the resulting vector.
Deriving the cross product from the dot product can help to better understand the relationship between these two operations and the properties of vectors. It can also be a useful tool in solving problems in mathematics and physics that involve both the cross product and the dot product.
Yes, the cross product derived from the dot product has many practical applications, including in engineering, physics, and computer graphics. It is used to calculate torque, angular momentum, and magnetic fields, among other things.