1) Find an equation of the plane consisting of all points that are equidistant f

Question

1) Find an equation of the plane consisting of all points that are equidistant from (3, 3, 2) and (-1, -4, 5), and having -4 as the coefficient of x .

2)Suppose a line is given parametrically by the equation

Then the vector and point that were used to define this line were

Find v and p

Find an equation of the plane consisting of all points that are equidistant from (3, 3, 2) and (-1, -4, 5), and having -4 as the coefficient of x Suppose a line is given parametrically by the equation L(t)=?4?3t,t?5,3?t? Then the vector and point that were used to define this line were Find v and p

Explanation / Answer

the plane ll be 4x+7y-3z = k

let us find k

midpoint

(2,3.5,-1.5)

hencce k ll be

8+22.5+4.5 = 34

equation is 4x+7y-3z = 34

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