- #1
ttpp1124
- 110
- 4
- Homework Statement
- M(4,5) and N(9,5)
To find the direction vector, is it M-N or N-M?
- Relevant Equations
- Not Available
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ttpp1124 said:The question states "A line passes through the points M(4, 5) and N(9, 5). Determine vector and parametric equations for this
line."
So it's M to N? Meaning M-N?
No, not alwaysPeroK said:Does a line have a direction?
In this case you get to choose, right? You can choose to describe the line from ##M## to ##N## or from ##N## to ##M##.ttpp1124 said:No, not always
Ok, thank youPeroK said:In this case you get to choose, right? You can choose to describe the line from ##M## to ##N## or from ##N## to ##M##.
A vector equation is an equation that represents a vector in terms of its components. It is written in the form of v = a1i + a2j + a3k, where v is the vector, a1, a2, and a3 are the components, and i, j, and k are the unit vectors in the x, y, and z directions, respectively.
A parametric equation is a set of equations that represent the coordinates of a point in terms of one or more parameters. It is written in the form of x = f(t), y = g(t), and z = h(t), where x, y, and z are the coordinates, t is the parameter, and f, g, and h are functions.
A vector equation can be converted into a set of parametric equations by expressing each component in terms of a parameter. For example, the vector equation v = 2i + 3j + 4k can be written as x = 2t, y = 3t, and z = 4t, where t is the parameter.
To determine the vector equation from a set of parametric equations, you can simply express each coordinate in terms of the unit vectors i, j, and k. For example, the parametric equations x = 2t, y = 3t, and z = 4t can be written as v = 2i + 3j + 4k.
Vector and parametric equations are used in various fields such as physics, engineering, and computer graphics. They are used to represent the motion of objects, the trajectory of projectiles, and the shape of curves and surfaces. They are also used in computer programming to create 3D models and animations.