For each item, find an equation of the plane with the given properties: (a) containing the points P(2,0, –1), Q(0, 3, – 1) and R(2,3, 1) (b) containing the point P(-2, 1, 3) and parallel to the plane 3 + 4y – 2z + 6 = | (c) containing the point P(2, 1,0) and the line x = 2, y = 3+ 4t, z = -1 – t

Q: Find an equation (in standard form and in general form) of the plane containing the points (2, 1,…

A:

Q: Find an equation of the plane passing through the three points: (1, -2, 1), (-1, -1, 7), (2, -1, 3).

A: Introduction: An equation of the plane passing through the points a0,b0,c0, a1,b1,c1, and a2,b2,c2…

Q: Determine if the line given by r(t)=(-2t, 2+7t, -1-4t) intersects the plane given by 4x+9y-2z =-8…

A:

Q: Find an equation of the plane through the three points given: P= (0,0, 1) , Q =(-1,4,2), R=(-2,–2,…

A: We have to find the equation of a plane which passes through the following points -  P = (0,0,1) Q =…