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livestrong136
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2. Determine vector and parametric equations for the z-axis. (Just so everyone is clear, The z-axis is actually a line in space. So you need to write the vector and parametric equation of this line)
A vector is a mathematical quantity that has both magnitude (size) and direction. It is represented by an arrow pointing in the direction of the vector, with the length of the arrow representing the magnitude.
A parametric equation is a way of representing a set of equations or functions using one or more independent variables, called parameters. It allows us to describe a curve or surface in terms of its coordinates in terms of these parameters.
To find the magnitude of a vector, you use the Pythagorean theorem. You square the x and y components of the vector, add them together, and then take the square root of the sum.
A unit vector is a vector with a magnitude of 1. It is used to indicate direction without affecting the magnitude of a vector. Unit vectors are often used in physics and engineering calculations.
To convert parametric equations to vector form, you can use the parameter as the variable for the vector components. For example, if the parametric equations are x = t and y = 2t, the vector form would be