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epislon58
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So when there is a dot above the equation it means with respect to time. What does it mean if there are two on the top or one on the side?
epislon58 said:So when there is a dot above the equation it means with respect to time. What does it mean if there are two on the top or one on the side?
epislon58 said:So when there is a dot above the equation it means with respect to time. What does it mean if there are two on the top or one on the side?
CompuChip said:namanjain, OP is talking about the second dot.
That's just a period marking the end of the sentence.
mfb said:namanjain please read the full thread, you are not adding anything new here.
The dots on physics equations are called the "dot product" and represent the mathematical operation of multiplying two vectors together. It is also known as the scalar product, as it results in a scalar quantity (a single number) rather than a vector.
The dot product is calculated by multiplying the corresponding components of two vectors and then adding them together. For example, if vector A has components (a1, a2, a3) and vector B has components (b1, b2, b3), then the dot product of A and B would be (a1b1 + a2b2 + a3b3).
The dot product is important in physics equations because it allows us to calculate the work done by a force, the angle between two vectors, and the projection of one vector onto another. It also helps determine if two vectors are parallel or perpendicular to each other.
Yes, the dot product can be negative. This occurs when the angle between two vectors is greater than 90 degrees. In this case, the dot product is negative because the vectors are pointing in opposite directions.
The dot product and the cross product are two different mathematical operations involving vectors. The dot product results in a scalar quantity, while the cross product results in a vector quantity. The dot product is used to find the angle between two vectors, while the cross product is used to find the perpendicular vector to two given vectors.