Find the parametric equations for the line whose vector form is given by .

Name: Find the parametric equations for the line whose vector form is given by .
Brand: Quizplus
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Question

Find the parametric equations for the line whose vector form is given by  .

Quizplus · Accepted Answer

The given vector form is:

r = 4i - 3j + 5k + t(2i + 5j + 5k)

To convert this into parametric form, we can separate the components of the vector and write:

x = 4 + 2t
y = -3 + 5t
z = 5 + 5t

This gives the parametric equations:

x = 2t + 4
y = 5t - 3
z = 5t + 5

Comparing with the given choices, we see that the correct answer is C.

Find the Parametric Equations for the Line Whose Vector Form