6. Given plane M parallel to plane K. A and Care points in M, and B and D are points in K such that ADIKand BCIM. Prove that AB CD.

Q: 4) consider the points below PC3.0,3),Q(-2,1,4),B(5,25) al find a non zero vector orthagonal 40 the…

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Q: 4. Sketch the set X = [-1,3] × [0,2] on the plane R². On separate drawings, shade in the sets X and…

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Q: 10. Suppose that II1 and II2 are parallel planes in R’, given by: Il : ajx + bịy + C1z = di, and II2…

A: Given two plane which are parallel  Π1:a1x+b1y+c1z-d1,  Π2:a2x+b2y+c2z-d2 and another plane is…

Q: Which of the following is/are axiom/s in projective geometry? I. All the points of the plane belong…

A: We have to determine which of the following is axiom of projective geometry.

Q: Find the distance between the parallel lines in each pair. a) l₁: [x, y, z] = [2, 5, 4] + [2, 1, 3]…

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Q: Prove in general that orthab is orthogonal to ā.

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Q: Given that all three points (6, 10, 10), (11, 14, 13), and (k, 8, 6) lie on a plane that contains…

A: If three points lie on the same plane then determinate of matrix made by that points is zero.…

Q: Suppose that OABC is a parallelogram. Let M be the midpoint of OA and let P be the point of…

A: 1st we will draw diagram of the given situation and then find position of P using section formula…

Q: Hi, parts a) and b) of this question are attached.    Thanks so much!!!

A: The problem concerns the distance and angle functions in the complex plane (the set of all complex…

Q: If the points P, Q, R, not all lying on the same straight line, have position vectors a, b, c…

A: Given that the points P,Q,R not all lying on the same straight line and with position vectors a,b…

Q: 3. Show that if I aij = 1, then if A= (orj), entrees of of then the sum of vector V Av equals the…

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Q: Prove that three points P(5,-4), Q(-3,8) and R(1,2) on the rectangular coordinate plane are…

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Q: Ex 12.8. Let S be a set of q + 2 points in a projective plane of order q. Prove that every line,…

A: Given: In this question, the given details are, Let S be a set of q+2 points in a projective plane…

Q: Sketch the set X = [1, 3] × [1, 2] on the plane R . On separate drawings, shade in X ∩([0,2]×[0,3]).…

A: Sketch the product X = [1, 3] × [1, 2] on ℝ.

Q: 1. Which of the following statements are TRUE? (Circle ALL that apply). a. Opposite vectors are…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: -). The vectors U = (c²/3, b, 3), V=(√c, 2, 1) are parallel. Find the norm of the vector U.

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Q: Q.10 If a= 2i-3j + 4k and b= 2j + 4k Find the component or projection of a along b.

A: Using formula of projection vector.

Q: Suppose v,, v,,V3 are distinct points on one line in R" . The line need not pass through 29 the…

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Q: This exercise illustrates how vector arithmetic can be used to prove propositions in plane geometry.…

A: (a) Here, u=v=u+v=1. ⇒u2=v2=u+v2=u+v·u+v ⇒(u+v)·u+v=1⇒u·u+2u·v+v·v=1⇒u2+2uvcos(θ)+v2=1⇒1+2…