that Let P be the point (1,0,2). Consider the plane through the points A= (3,4,-1), B= (1,-3,3) and (= (1,20). Soej Find a vector plane that goes through the point P and is parallel to the plane that goes through the points A, B and C. :) Find a point-normal equation for this plane

Q: be the line through the point with coordinates (0,1,0) in the direction of the vector h of the…

A:

Q: (a) Find the equation of the plane p containing the point P (4, 3, 4) and with normal vector (2,…

A:

Q: Let L. be the line passing through the point P=(5, 1, 1) with direction vector [-1,5, -2], and let T…

A: Solution :

Q: Find eguation of a Plane that an contains the vector: and and Z=3E

A:

Q: A plane in R'is perpendicular to the vector (4, 2, – 9), and contains the point (- 9, 5, - 8). Find…

A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…

Q: Let P be the like (-1,0,2) . Consider the plane that goes through the points A=(3,4,-1), B=(1,-3,3)…

A:

Q: Determine vector and parametric equations for the line in R that passes through the points A(1,0, 1,…

A:

Q: X1 x2 x3 2 -1 3 (1)x+( + μl 2

A:

Q: Find the vector n= normal to the plane passing through the points (0, -3, 0), (2, -1, 0) and (-2,…

A:

Q: Let / be the line through the point with coordinates (0,0,1) in the direction of the vector…

A:

Q: Let Lz be the line passing through the points Q1=(1, 3, 1) and Q2=(7, 12, 4). Find a value of k so…

A: We will solve the problem

Q: Determine the equation of the plane with a point 'a' and the normal vector 'n': a = (−1, 2, −3)t ,…

A:

Q: Write the equation of the plane passing through P with normal vector n in normal form and general…

A:

Q: Find the projection of v = [-3, 3, 6] onto the line L with vector equation x=td where d = [4, -3, 1]

A:

Q: Find an equation of the plane that passes through the point Po(0, -2,3) with a normal vector n =…

A: To find the equation of a plane that passes through the point with a normal vector , you can use…