Find parametric equations for the line that passes through the

Guenuegoomyns 2021-12-05 Answered
Find parametric equations for the line that passes through the point
P(3, 7, 9) and Q(4, 1, 5)
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Expert Answer

Walker Funk
Answered 2021-12-06 Author has 13 answers

Step 1
The line containing the point (x0, y0, z0) and parallel to the vector
v=A, B, C
Has parametric equations
x=x0+At
y=y0+Bt
z=z0+Ct
These equations can be expressed in vector form as
R(t)=x0+At, y0+Bt, z0+Ct
Step 2
The line is defined by the vector
4(3), 17, 5(9)7, 6, 14
Thus, parametric equations of the line are x=4+7t, y=16t and z=514t

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