No. If you call this point B, the vector AB is not parallel to the x-axis. A vector parallel to the x-axis has a non-zero x-coordinate, and the other two coordinates are zero.spoc21 said:so would the (0,1,1) work?
Mark44 said:No. If you call this point B, the vector AB is not parallel to the x-axis. A vector parallel to the x-axis has a non-zero x-coordinate, and the other two coordinates are zero.
Parametric and vector equations are mathematical descriptions of curves, surfaces, and other geometric objects that use parameters or vectors to define their coordinates. They are often used in physics and engineering to model real-world phenomena.
A parametric equation uses parameters (usually represented by variables) to define the coordinates of a point on a curve or surface. A vector equation, on the other hand, uses vectors (which have both magnitude and direction) to define the coordinates of a point. Parametric equations are often used to describe curves, while vector equations are used for surfaces and higher-dimensional objects.
To convert a parametric equation to a vector equation, you can first rewrite the parametric equations in terms of a single variable, usually t. Then, you can use the coefficients of t to create vectors that represent the x, y, and z coordinates. For example, the parametric equation x = 2t, y = 3t, z = 4t would be converted to the vector equation
Parametric and vector equations are used in a variety of fields, including physics, engineering, computer graphics, and robotics. They are often used to model the motion of objects, such as projectiles or planets, and to create 3D graphics in video games and animations.
Parametric and vector equations are an alternative way of representing points in space, and they can be converted to Cartesian coordinates. For example, a point (x, y, z) in Cartesian coordinates can be represented as a parametric equation x = x, y = y, z = z or a vector equation