Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7-2t y=t z = 9+t

Q: -Calculate the equation of the general plane that has a normal vector n and passes through the point…

A: We have given plane properties as shown in the figure below:To find the equation of a plane given…

Q: Prove that for any point (a, b) ≠ (0, 0) on the parabola y = x2 , the normal line intersects the…

A: The given equation of parabola is y=x2  For the point (a,b)≠ (0, 0), the slope of normal is and at…

Q: Find a point-normal equation for the plane that is represented by the vector equation (x, y, z) =…

A:

Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

A:

Q: 8. Find a normal for the plane that passes through the points: P(2,-2, 3), Q (3, 2, 1), R(-1,-4, 2)

A:

Q: Which of the following is the normal plane equation to the curve that is the intersection of both…

A: To determine the normal plane equation to the curve at the intersection of the two given surfaces at…

Q: Compute the "best fit" plane containing the following points: (4, 0, -2) (2, 1, -3) (-3, 1, 4)…

A: To find the best fit plane that for the points 4,0,-2,2,1,-3,-3,1,4,-2.9,0.9,4.1To find the normal…

Q: Parametrize the line segment joining the points P(1, 2, 0) and Q(1, 3, -1).

A: We know that equation of line passing through the points (x1,y1,z1) and (x2,y2,z2) is

Q: Give the vector equation of the line passing through P and Q

A: To find the equation of the line passing through P and Q.

Q: Find a vector orthogonal to the line x+y=1

A:

Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

A:

Q: Let L. be the line passing through the point P-(4, -3, 1) with direction vector a-[-4, 1, 1], and…

A: