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mamaluj [8]
3 years ago
6

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 9) and pe

rpendicular to the plane x + 2y + z = 7
Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

r=<1,0,9>+t<1,2,1>

and

x=1+t

y=2t

z=9+t

Step-by-step explanation:

A vector perpendicular to the plane :

ax+by+cz+d=0

is given by (a,b,c)

So a vector perpendicular to given plane will have :

(1,2,1)

The\ parametric\ equation\ of\ a\ line\ through\ (1,0,9)\ and\ parallel\ to\ vector\ (a,b,c) is\ given\ by:\\x=x_0+ta\\y=y_0+tb\\z=z_0+tb\\x=1+t(1)\\x=1+t\\y=0+t(2)\\y=2t\\z=9+t(1)\\z=9+t\\The\ vector\ form\ is:\\r=+t ..

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