Solved

Find the Parametric Equation of the Plane Through the Point r(t)=(12t)i+(5+2t)j+(34t)k\vec { r } ( t ) = ( 1 - 2 t ) \vec { i } + ( 5 + 2 t ) \vec { j } + ( 3 - 4 t ) \vec { k }

Question 2

Multiple Choice

Find the parametric equation of the plane through the point (-4, 2, 4) and parallel to the lines r(t) =(12t) i+(5+2t) j+(34t) k\vec { r } ( t ) = ( 1 - 2 t ) \vec { i } + ( 5 + 2 t ) \vec { j } + ( 3 - 4 t ) \vec { k } and s(t) =(34t) i+4tj+(42t) k\vec { s } ( t ) = ( 3 - 4 t ) \vec { i } + 4 t \vec { j } + ( 4 - 2 t ) \vec { k } Select all that apply.


A) x=42u4v,y=2+2u+4v,z=44u2vx = - 4 - 2 u - 4 v , y = 2 + 2 u + 4 v , z = 4 - 4 u - 2 v
B) x=42u4v,y=2+2u+4v,z=4+4u2vx = - 4 - 2 u - 4 v , y = 2 + 2 u + 4 v , z = 4 + 4 u - 2 v .
C) x=42u+4v,y=2+2u4v,z=44u+2vx = - 4 - 2 u + 4 v , y = 2 + 2 u - 4 v , z = 4 - 4 u + 2 v
D) x=2u4v,y=2u+4v,z=4u2vx = - 2 u - 4 v , y = 2 u + 4 v , z = - 4 u - 2 v
E) x=42u4v,y=2+2u+4v,z=44u2vx = - 4 - 2 u - 4 v , y = 2 + 2 u + 4 v , z = 4 - 4 u - 2 v ..

Correct Answer:

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