That fact alone doesn't tell you much about the original two vectors.
It only says that
(magnitude of vector-#1) times (magnitude of vector-#2) times (cosine of the angle between them) = 1.
You still don't know the magnitude of either vector, or the angle between them.
Chat with our AI personalities
Dot Product:Given two vectors, a and b, their dot product, represented as a ● b, is equal to their magnitudes multiplied by the cosine of the angle between them, θ, and is a scalar value.a ● b = ║a║║b║cos(θ)Cross Product:Given two vectors, a and b, their cross product, which is a vector, is represented as a X b and is equal to their magnitudes multiplied by the sine of the angle between them, θ, and then multiplied by a unit vector, n, which points perpendicularly away, via the right-hand rule, from the plane that a and b define.a X b = ║a║║b║sin(θ)n
A dot is a point. There is no point between the dot. There could be a point between two dots, but that is not what you asked. And if there was a point between two dots, it would just be another dot.
Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.
Given two vectors a and b, the area of a parallelogram formed by these vectors is:a x b = a*b * sin(theta) where theta is the angle between a and b, and where x is the norm/length/magnitude of vector x.
if two vectors are represented in magnitude and direction by the two sides of a triangle taken in one order ,their resultant vector is represented by the third side of the triangles taken in reverse order