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Find a vector equation and parametric equations for the line segment that joins $ P $ to $ Q $.

$ P (0, -1, 1), Q (\frac{1}{2}, \frac{1}{3}, \frac{1}{4}) $

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$$\mathbf{r}(t)=\left\langle\frac{1}{2} t,-1+\frac{4}{3} t, 1-\frac{3}{4} t\right\rangle, 0 \leq t \leq 1 ;\\x=\frac{1}{2} t, y=-1+\frac{4}{3} t, z=1-\frac{3}{4} t, 0 \leqslant t \leqslant 1$$

Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

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University of Nottingham

Lectures

03:04

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x. The input of a function is called the argument and the output is called the value. The set of all permitted inputs is called the domain of the function. Similarly, the set of all permissible outputs is called the codomain. The most common symbols used to represent functions in mathematics are f and g. The set of all possible values of a function is called the image of the function, while the set of all functions from a set "A" to a set "B" is called the set of "B"-valued functions or the function space "B"["A"].

08:32

In mathematics, vector calculus is an important part of differential geometry, together with differential topology and differential geometry. It is also a tool used in many parts of physics. It is a collection of techniques to describe and study the properties of vector fields. It is a broad and deep subject that involves many different mathematical techniques.

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The problem is, find a life to equation on the Parametric equations with a line segment that joints pinto Q. Is the doctor in question is Archie is a cultural one. Minus two multiplies Lecter zero next to one. Why Castillo? Much crime back too. My half their force. He is created and serial kind smaller than what the corresponding Parametric questions are. I caught you a half. I'm Steve. Why is equal to negative one man? Steam? Alas, my third time's too This is is they want to forty. Our three minus one and C is the goto one man's to class on horse stance two. This is Echo two negative, Pretty ofthe war last one and that she is grated on Cyril and smaller than what?

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