perpendicular

(adjective)

at or forming a right angle (to)

Related Terms

Examples of perpendicular in the following topics:

  • The Cross Product

    • The cross product of two vectors is a vector which is perpendicular to both of the original vectors.
    • The result is a vector which is perpendicular to both of the original vectors.
    • Because it is perpendicular to both original vectors, the resulting vector is normal to the plane of the original vectors.

  • Vectors in the Plane

    • The plane determined by this point and vector consists of those points $P$ , with position vector $\mathbf{r}$, such that the vector drawn from $P_0$ to $P$ is perpendicular to $\mathbf{n} $.
    • Recall that two vectors are perpendicular if and only if their dot product is zero.
    • Note that $\mathbf{V}$ and $\mathbf{W}$ can be perpendicular but not parallel.

  • Cylinders and Quadric Surfaces

    • The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder.
    • In common use, a cylinder is taken to mean a finite section of a right circular cylinder, i.e. the cylinder with the generating lines perpendicular to the bases, with its ends closed to form two circular surfaces.

  • Tangent Vectors and Normal Vectors

    • In order for a vector to be normal to an object or vector, it must be perpendicular with the directional vector of the tangent point.
    • An object is normal to another object if it is perpendicular to the point of reference.

  • Cylindrical Shells

    • Shell integration (also called the shell method) is a means of calculating the volume of a solid of revolution when integrating perpendicular to the axis of revolution .
    • Use shell integration to create a cylindrical shell and calculate the volume of a "solid of revolution" perpendicular to the axis of revolution.

  • Three-Dimensional Coordinate Systems

    • Each parameter is perpendicular to the other two, and cannot lie in the same plane. shows a Cartesian coordinate system that uses the parameters $x$, $y$, and $z$.
    • Also known as analytical geometry, this system is used to describe every point in three dimensional space in three parameters, each perpendicular to the other two at the origin.

  • Vector-Valued Functions

    • If you were to take a cross section, with the cut perpendicular to any of the three axes, you would see the graph of that function.
    • For example, if you were to slice the three-dimensional shape perpendicular to the $z$-axis, the graph you would see would be of the function $z(t)=t$.The domain of a vector valued function is a domain that satisfies all of the component functions.

  • Volumes of Revolution

    • The disc method is used when the slice that was drawn is perpendicular to the axis of revolution; i.e. when integrating parallel to the axis of revolution.
    • The shell method is used when the slice that was drawn is parallel to the axis of revolution; i.e. when integrating perpendicular to the axis of revolution.
    • The integration (along the $x$-axis) is perpendicular to the axis of revolution ($y$-axis).

  • Physics and Engineering: Fluid Pressure and Force

    • Pressure ($p$) is force per unit area applied in a direction perpendicular to the surface of an object.

  • Horizontal Asymptotes and Limits at Infinity

    • Vertical asymptotes are vertical lines (perpendicular to the $x$-axis) near which the function grows without bound.