A Dot product is a very useful tool in both mechanics and 3D graphics. It calculates the cosine of the angle between two vectors.
In two-dimensional space, the dot product of vectors [a, b] and [c, d] is ac + bd.
Mechanical work is the dot product of force and displacement vectors.
Magnetic flux is the dot product of the magnetic field and the area vectors.
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Dot Products in Physics denote scalar results fmo vector products, e.g Work = F.D = FDCos(FD) a scalar result from the dot product of two vectors, F Force and D Displacement.
A point in geometry is defined as any exact location on a plane. It has no size, even if it is represented on a graph by a dot. A point has no measurement - it is just one specific place, and it is usually named with a capital letter. So 5 examples on any graph could include A, B, C, D, and E as points.
They give us different results. The dot product produces a number, while the scalar multiplication produces a vector.
The dot product of two vectors is the sum of the products of the equivalent elements of the vectors → (2 4) ⋅ (1 -2) = 2×1 + 4×-2 = 2 - 8 = -6