B A projective plane is a set of points and subsets called lines that satisfy the following four axioms: Pl. Any two distinct points lie on a unique line. P2. Any two lines meet in at least one point. P3. Every line contains at least three points. P4. There exist three noncollinear points. Note that these axioms imply (11)-(13), so that any projective plane is also an inci- dence geometry. Show the following: (a) Every projective plane has at least seven points, and there exists a model of a projective plane having exactly seven points. (b) The projective plane of seven points is unique up to isomorphism. (c) The axioms (P1), (P2), (P3), (P4) are independent.

Q: which one of the following pair of planes is parallel? 1. O x-4y-3z-2=0 dan 3x-9y-12z-7=0 2. O 1/4…

A: To find the pair of parallel planes

Q: Let L be a line which passes through the point (-7,0, 1) and is perpendicular to the plane x + 2y +…

A:

Q: 2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. do points A and B…

A:

Q: 1. Write the answer of each of the following questions: rat is the name of horizontal and the…

A: NOTE: As per our guidelines, I am solving the 1st question.

Q: Find a plane through the points P(4,-1,2), Q(6,2,1) and perpendicular to the plane -x+y+z=3

A: Given: Points, P(4, -1, 2) Q(6, 2, 1)

Q: Find the perpendicular distance from the point P(9, 6, 6) m to a plane defined by three points…

A:

Q: Consider the following geometry problems in 3-space Enter T or F depending on whether the statement…

A:

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: Given z1=2+3i and z2=5-i. Draw on the argand plane z1,z2,z1 + z2,z1 - z2,z1,z2, z1+z2, z1 - z2

A: Given: z1=2+3i and z2=5-i Draw the following points on Argand plane: (a) z1(b) z2(c) z1+z2(d)…

Q: CONSTRUCT ARGUMENTS Determine whether the statement is diways, sometimes, or never true. Justify…

A: Always; Postulate (Write Postulate number) states that through any three non-collinear points, there…

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Let ← || 8 N -6 Plane 2 and V₂ = 12 3 -9 then the geometric description of Span {V₁,V₂ } is A set of…

A:

Q: Let A₁, A2, A3,..., A,, are n points in a plane whose co are (x₁, y₁), (x2, y2),..., (x, y),…

A:

Q: Let A be the point with coordinates (-4, -4, -1), let B be the point with coordinates (-2, -2, -5),…

A: The point A has the coordinate (-4, -4, -1) and the point B has the coordinate (-2, -2, -5).  C is…

Q: 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…

A:

Q: Suppose we know that the points P (0, -1, -1), Q(1, 1, 4), and R (2, -4, 0) form a triangle in…

A:

Q: Let a₁ = 3 - 17 1 2 is b in the plane spanned by a, and a₂? 11 a₂ and b = + -4 h For what value(s)…

A: Let To Find:For what value of h is b in the plane spanned by ?

Q: It is estimated that 60% of emails are spam emails. Some software has been applied to filter these…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: a. + 6 Z ²+²/²/-=-1 12 4

A:

Q: Which of the following is a correct geometrical interpretation of the intersection of the planes…

A:

Q: Draw a plane perpendicular to the horizontal plane inclined to the vertical (vertical) plane at an…

A:

Q: State PQ

A: Consider that the direction ratios of the line joining S(-2,4,6) and R(-1,2,3) is given by, SR=-1+2,…

Q: Parts (a) through (d) justify Theorem 1-2: Through a line and a point notin the line there is…

A: Postulates involving Points, Lines and Planes. Postulate 1 - A line contains at least two points ; a…

Q: Determine whether the statement below is true or false. Justify the answer. The set Span {u, v} is…

A:

Q: Show that these planes intersect in a point for all values of a, b, and c. x + y + z = a x + 2y +…

A:

Q: Which of the following describes the span of set S = -{]-[]} 3 Select 5

A: Given that the span of set S=503, 101, 0-1-1. We have to describe the given spanning set.

Q: Radoc-Lactuan, I. et. al Analytic Geometry C. Show that the following sets of points belong to the…

A: topic - coordinate geometry