Consider the plane $\vec { r } ( s , t ) = ( 2 + s - 4 t ) \vec { i } + ( 5 - s + 4 t ) \vec { j } + ( 6 - 4 t - s ) \vec { k }$ Does it contain the point (1, 6, -1)?

Name: Consider the plane $\vec { r } ( s , t ) = ( 2 + s - 4 t ) \vec { i } + ( 5 - s + 4 t ) \vec { j } + ( 6 - 4 t - s ) \vec { k }$ Does it contain the point (1, 6, -1)?
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Question

Quizplus · Accepted Answer

The point (1, 6, -1) satisfies the parametric equations of the plane when s = 1 and t = 1.

Consider the Plane r⃗(s,t)=(2+s−4t)i⃗+(5−s+4t)j⃗+(6−4t−s)k⃗\vec { r } ( s , t ) = ( 2 + s - 4 t ) \vec { i } + ( 5 - s + 4 t ) \vec { j } + ( 6 - 4 t - s ) \vec { k }r(s,t)=(2+s−4t)i+(5−s+4t)j​+(6−4t−s)k

Consider the Plane $\vec { r } ( s , t ) = ( 2 + s - 4 t ) \vec { i } + ( 5 - s + 4 t ) \vec { j } + ( 6 - 4 t - s ) \vec { k }$