Find both the vector equation and the parametric equations of the line through (1,5,1) that is perpendicular to the lines x = 3-5t, y = 3+9t, z=4-5t and x = -5t, y = 3+t, z=4-t, where t = 0 corresponds to the given point. The vector equation is (x,y,z) = + Find the parametric equations of the line through (1,5,1) in the direction of the vector v=uxw. The parametric equations are x = y= z= (Use the answer from the previous step to find this answer.)

          Find both the vector equation and the parametric equations of the line through (1,5,1)
that is perpendicular to the lines x = 3-5t, y = 3+9t, z=4-5t and x = -5t, y = 3+t,
z=4-t, where t = 0 corresponds to the given point.
The vector equation is (x,y,z) = 
+
Find the parametric equations of the line through (1,5,1) in the direction of the vector
v=uxw.
The parametric equations are x = 
y=
z=
(Use the answer from the previous step to find this answer.)

Find both the vector equation and the parametric equations of the line through (1,5,1)
that is perpendicular to the lines x = 3-5t, y = 3+9t, z=4-5t and x = -5t, y = 3+t,
z=4-t, where t = 0 corresponds to the given point.
The vector equation is (x,y,z) =
+
Find the parametric equations of the line through (1,5,1) in the direction of the vector
v=uxw.
The parametric equations are x =
y=
z=
(Use the answer from the previous step to find this answer.)

Added by Irene M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Linh Vu

06/11/2020

Step 1

To find the direction vector of a line perpendicular to two given lines, we can take the cross product of the direction vectors of the given lines. The direction vector of the first line is given by (5,-9,5). The direction vector of the second line is given by Show more…

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Find both the vector equation and the parametric equations of the line through (1,5,1) that is perpendicular to the lines x=3-5t, y=3+9t, z=4-5t and x=-5t, y=3+t, z=4-t, where t=0 corresponds to the given point. The vector equation is r = (1,5,1) + t(5,-9,5) Find the parametric equations of the line through (1,5,1) in the direction of the vector 'MXn=^ The parametric equations are x = 1 + 5t, y = 5 - 9t, z = 1 + 5t (Use the answer from the previous step to find this answer.)