8. Let P(1,2,3), Q(1,-1,-2), and R(0,0,0) be the three points in R³ a. Find an equation of the plane through P, Q, and R. The coefficient on x should be -1. b. Find the area of the triangle formed by PQR c. Find the equation of the line through P that is perpendicular to the plane from (a) - hint: use the line when the x = -t+1 if the line is in the form

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: A straight line passes through points A(-1,4) and B(0, -3). Write the equation of the line under:…

A:

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

A:

Q: Find the perpendicular distance from the point P(9,11,−8) ft to a plane

A:

Q: 13. Given the points A(3,5) and B( – 3, – 7), find c. the symmetric equation of the line.

A:

Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: Let 9 -15 ------ 12 V2 = -6 h = V1 = -3 3 1 - 2 For what value of h is y in the plane spanned by v₁…

A:

Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

A:

Q: Let A = (3, – 6) and B= (4,8). What is the equation of the line through the midpoint of AB that is…

A: