3. If (4x + 5y+ 7z = 14) is equation of a plane and (x = 2 + 2t, y = 1– 3t, %3D z = 2 + t) is equation of a line, then: 1- Find equation of new line which interects the given line at (x = 4) and interescts the %3D given plane at (x = -2, y = 3). %3D 2- Find equation of new plane which contains the given line and parallel to the given plane.

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

A:

Q: A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates A(1,…

A: Given  A(1,-1), B(1,-2), C(2,-1)are the initial coordinates of the House A, B, C. A'(3, -4) are the…

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

A:

Q: A. s(x) = B. f-1 (x) = %3D C. f-1(x) = 1 %3D D. f-1(x) =x 9. Which of the following is the inverse…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

A:

Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…