Write down an equation for the plane passing through the points [1,−2,−1][1,−2,−1], [−2,3,−3][−2,3,−3], and [2,0,3][2,0,3]. For example: x+y+z=1.

Which of the following is a plane passing through the points [1,−1,3][1,−1,3], [2,−1,1][2,−1,1], and [0,3,−14][0,3,−14]?Please select all correct answers.[1,−1,3]+s[2,−1,1]+t[−2,4,−15][1,−1,3]+𝑠[2,−1,1]+𝑡[−2,4,−15][1,−1,3]+s[1,0,−2]+t[−1,4,−17][1,−1,3]+𝑠[1,0,−2]+𝑡[−1,4,−17][1,−1,3]+s[1,0,−2]+t[−2,4,−15][1,−1,3]+𝑠[1,0,−2]+𝑡[−2,4,−15][1,−1,3]+s[2,−1,1]+t[0,3,−14]

Let P𝑃 be the plane passing through the points [1,−2,−1][1,−2,−1], [−2,3,−3][−2,3,−3], and [2,0,3][2,0,3].Where does the line [1,3,1]+s[2,−2,0][1,3,1]+𝑠[2,−2,0] intersect this plane?

Find the equation of the plane through the point p=(3,2,3),and paralled to the plane y-x+2z = -1.

Find an equation of the plane. the plane that passes through the point (3, 6, −1) and contains the line x = 4 − t, y = 2t − 1, z = −3t

The plane passing through the origin and containing the lines whose direction cosines are proportional to 1,-2,2 and 2,3,-1 passes through the point