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onceinalifetim
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Vectors -- dot product and cross product?
Hello
may i know when to dot product and cross product?? both look to same to me..
Hello
may i know when to dot product and cross product?? both look to same to me..
onceinalifetim said:Hello
may i know when to dot product and cross product?? both look to same to me..
A vector is a mathematical object that represents both magnitude (size) and direction. It is typically represented by an arrow pointing in a specific direction, with the length of the arrow representing the magnitude.
The dot product of two vectors is a mathematical operation that results in a scalar (single value) by multiplying the magnitudes of the two vectors and the cosine of the angle between them. It is often used to find the component of one vector in the direction of another vector.
The cross product of two vectors is a mathematical operation that results in a vector perpendicular to both of the original vectors. Its magnitude is equal to the product of the magnitudes of the two vectors and the sine of the angle between them. It is often used to find a vector that is perpendicular to a plane defined by two other vectors.
To calculate the dot product of two vectors, you first find the magnitude of each vector. Then, multiply the two magnitudes together and multiply by the cosine of the angle between them. The resulting value is a scalar.
To calculate the cross product of two vectors, you first find the magnitude of each vector. Then, multiply the two magnitudes together and multiply by the sine of the angle between them. The resulting value is a vector perpendicular to both of the original vectors.