Find the parametric and the non-parametric equations of the planes below:(a) The plane through the three points (5; 4;-8); (1; 6;-3) and (7;-2; 5)(b) The plane through the point (1;-2; 4) and containing the line given by (x; y; z) = (3;-2; 1)+t(2; 1;

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Findtheparametricandthenon-parametricequationsoftheplanesbelow:(a)Theplanethroughthethreepoints(5;4;

Find the parametric and the non-parametric equations of the planes below:(a) The plane through the three points (5; 4;-8); (1; 6;-3) and (7;-2; 5)(b) The plane through the point (1;-2; 4) and containing the line given by (x; y; z) = (3;-2; 1)+t(2; 1;
Find the parametric and the non-parametric equations of the planes below:
(a) The plane through the three points (5; 4;-8); (1; 6;-3) and (7;-2; 5)
(b) The plane through the point (1;-2; 4) and containing the line given by (x; y; z) = (3;-2; 1)+t(2; 1;-3)

Find the parametric and the non-parametric equations of the planes below:(a) The plane through the three points (5; 4;-8); (1; 6;-3) and (7;-2; 5)(b) The plane through the point (1;-2; 4) and containing the line given by (x; y; z) = (3;-2; 1)+t(2; 1;
（a）设平面方程为ax+by+cz+d=0
将三个点代入方程得方程组：
5a+4b-8c+d=0
a+6b-3c+d=0
7a-2b+5c+d=0
解之得：
a=-7/46d
b=-31/184d
c=-5/92d
代入平面方程并约去d,得平面方程为：
28x+31y+10c=184
(b) 当t=0时,（x,y,z)=(3;-2;1)
t=-1时,(x;y;z)=(1,-3,4)
所以平面过(1;-2;4),(3;-2;1),(1;-3;4)
同上设平面方程为ax+by+cz+d=0
代入三点得方程组：
a-2b+4c+d=0
3a-2b+c+d=0
a-3b+4c+d=0
解之得：
a=-3/11d
b=0
c=-2/11d
代入平面方程并消去d得平面方程为：
3x+2z-11=0

在下面找到飞机的参数和非参数方程：
（一）飞机从三分（5；4；8）；（1；6；3）和（7；2；5）
（b）飞机通过点（1；2；4）和含有由线（X；Y；Z）=（3；2；1）+ t（2；1；3）
这个是这道题的翻译。 这道题我不太懂会吔。。

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