Find the distance of point K(1,0,1) to the plane generated by the points P(2,3,1), Q(3,-1,4) and R(0,0,2). A) 189 B) V10 C) 14 D) V91 E) V91

Q: What is the distance of the origin to the plane through (√3, √3,0), (√3,0, √3) and (0,√3,√3).

A: We have to find the distance of the origin to the plane passing through  and .

Q: 11. Consider the plane and the line with these equations: 0 = 2x + y -z + 10 a) :. e must b) Find…

A: The line passes through (-4, 2, e) and has direction ratios  3, f, 1 In case (a) the line lies on…

Q: A plane is perpendicular to [x, y, z] = [3, -30, 24] + s[2, 4, -2] and contains the point…

A: Step 1:​Plane is perpendicular to [x,y,z]=[3,−30,24]+s[2,4,−2]Direction of Line…

Q: K H 96°

A: We know that Angle made by an arc at the center of the circle is double of the angle made by same…

Q: Let A be the plane containing the points P(2,2,2), Q(2, 1,3 ) and R(3,1, 3) . (a) Find the equation…

A:

Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

A:

Q: a) Find the point of intersection between the lines x = 2t, y =t+ 2, z = 3t – 1 x = 5k – 2, y = k+…

A:

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

A:

Q: determine where the line intersects the plane or show that it does not intersect the plane. h) The…

A: The given line is r=9+t,-4+t,2+5t and the plane is 4x-9y+z=6. Note that, if a line does not…

Q: In the diagram at the left below, PT is tangent to 00 and PN intersects 00 at J. Find the radius of…

A: Draw a perpendicular line PO. Join OT. To find OT=radius. Given PN = PJ + JN= 8+4=12, ON=4 ,PT=12

Q: Let A be the point with coordinates (7, 6, 3) and let B be the point with coordinates (6, 6, 4). Let…

A: The main objective is to determine the distance from the point to plane.

Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.