Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, - 1, 1), Q(1/2, 1/3, 1/4)

sodni3 2021-05-29 Answered

Find the vector and parametric equations for the line segment connecting P to Q.
P(0, - 1, 1), Q(1/2, 1/3, 1/4)

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Expert Answer

Szeteib
Answered 2021-05-30 Author has 102 answers
Vector equation of a line segment joining the points with position vectors r0 and r1 is
r=(1t)r0+tr1
Where t[0,1]
Substitute r0=<0,1,1> and r1=<12.13,14>
r(t)=(1t)(0,1,1)+t<12,13,14>
r(t)=<0,1+t,1t>+<t2,t3,t4>
r(t)=<t2,1+4t3,13t4>
Where t[0,1] The parametric equations for the line segment are
x=t2,y=1+4t3,z=13t4
Where t[0,1]
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