Khaleesi Herbert

2021-09-12

Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set of parametric equations.

Layton

Skilled2021-09-13Added 89 answers

We have, points P(−2, −3, 8) and Q(5, 1, −2)

Now, the component vector from P to Q ,

So, the direction number are a=7,b=4 and c=−10

For initial point on the line, use point

We get,

Now, to form the parametric equation:

Putting the value of

Now, to form a vector−valued function:

We have,

So,

Hence, set of parametric equations be ,

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