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2. Vector projection - Wikipedia

   en.wikipedia.org/wiki/Vector_projection

   The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as proj b ⁡ a {\displaystyle \operatorname {proj} _{\mathbf {b} }\mathbf {a} } or a ∥ b .

3. Vector (mathematics and physics) - Wikipedia

   en.wikipedia.org/wiki/Vector_(mathematics_and...

   A free vector is a vector quantity having an undefined support or region of application; it can be freely translated with no consequences; a displacement vector is a prototypical example of free vector. Aside from the notion of units and support, physical vector quantities may also differ from Euclidean vectors in terms of metric.

4. Projection - Wikipedia

   en.wikipedia.org/wiki/Projection

   Projection (mathematics), any of several different types of geometrical mappings Projection (linear algebra), a linear transformation P from a vector space to itself such that P 2 = P; Projection (set theory), one of two closely related types of functions or operations in set theory; Projection (measure theory), use of a projection map in ...

5. Distance from a point to a line - Wikipedia

   en.wikipedia.org/wiki/Distance_from_a_point_to_a...

   Also, let Q = (x 1, y 1) be any point on this line and n the vector (a, b) starting at point Q. The vector n is perpendicular to the line, and the distance d from point P to the line is equal to the length of the orthogonal projection of on n. The length of this projection is given by:

6. Projection (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Projection_(mathematics)

   In mathematics, a projection is an idempotent mapping of a set (or other mathematical structure) into a subset (or sub-structure). In this case, idempotent means that projecting twice is the same as projecting once. The restriction to a subspace of a projection is also called a projection, even if the idempotence property is lost. An everyday ...

7. Radial velocity - Wikipedia

   en.wikipedia.org/wiki/Radial_Velocity

   A plane flying past a radar station: the plane's velocity vector (red) is the sum of the radial velocity (green) and the tangential velocity (blue). The radial velocity or line-of-sight velocity of a target with respect to an observer is the rate of change of the vector displacement between the two points.

8. Category:Operations on vectors - Wikipedia

   en.wikipedia.org/wiki/Category:Operations_on_vectors

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9. Scalar projection - Wikipedia

   en.wikipedia.org/wiki/Scalar_projection

   If 0° ≤ θ ≤ 90°, as in this case, the scalar projection of a on b coincides with the length of the vector projection. Vector projection of a on b (a 1), and vector rejection of a from b (a 2). In mathematics, the scalar projection of a vector on (or onto) a vector , also known as the scalar resolute of in the direction of , is given by: