A problem on parametric vector form of the plane

[Syeda_Nadia]

hi...

please help me this question.
i am not understand this question.

Find a vector equation of the plane for the following parametric equations:
X= 1 +2t1 – 3t2
y = 3 + 4t1 – 4t2
z = 2 + 3t1 – 5t2

i just want a solution, just let me know if possible.

 

[HallsofIvy]

A "vector equation" for any surface, with parameters t_1 and t_2 is
\vec{r}(t_1,t_2)= x(t_1, t_2)\vec{i}+ y(t_1, t_2)\vec{j}+ z(t_1, t_2)\vec{k}


1) This looks like a homework problem.

2) Though it talks about "vector", this is not really a "Linear and Abstract Algebra" question.

I am moving it to the "Calculus and Beyond" homework section.

 

[I like Serena]

Welcome to PF, Syeda_Nadia!

I believe your vector equation would be:
\begin{pmatrix}x\\y\\z\end{pmatrix} = \begin{pmatrix}1\\3\\2\end{pmatrix} + t_1 \begin{pmatrix}2\\4\\3\end{pmatrix} + t_2\begin{pmatrix}-3\\-4\\-5\end{pmatrix}