36. A parallelogram is formed by the vectors OA = (2, 3) and OB (1, 1). a. Determine the lengths of the diagonals. b. Determine the perimeter of the parallelogram. Explain your reasoning.

Q: ABCD is a parallelogram with A = (1, 2), B = (3, 8), C = (9, 10), and D = (x, y). Find xand y. %3D…

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Q: 6) Find the angles of the triangle whose sides are the lines x+2y+ 5 = 0, x – 3y + 4 = 0 and 3x +…

A: As you asked only for problem 6  Angles or traingle are  90, 45,45

Q: 8. If mzSBI = 9O°, what kind of parallelogram is BIAS? * O rectangle rhombus O square O trapezoid

A: Given that BIAS is a parallelogram with BA and SI as its diagonal. To determine the  kind of…

Q: Label the numbers in the Venn Diagram: 1 2 2 (3 Parallelogram 1. 1 Square 2. 2 Rectangle 3. 3 4. 4…

A: 1= Parallelogram

Q: Evaluate the line integral along the given path(s).

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8) А: 30 B: 40 С:35 D:45

A: Given: Vertices of triangle          P0,1,4O-5,9,2R7,2,8…

Q: A. Find the values of x such that the angle between the vectors and is 45. B. List four main…

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Q: Which figure does not have two pairs of parallel sides and diagonals that bisect each other? O…

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Q: 2) Is a triangle with vertices G(3,2), H(8,5), and K(0,10) a right triangle? Justify

A: Let (x1,y1) and x2,y2 be two point ,then by distance formula distance between this point d =…

Q: 14a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0) * B * (3, 4) , C(- 2, 6) and D(-…

A: Explanation of the solution is given below...

Q: 3 J(5, -1), K(8, 2). L(11, 10), M(8, 7)

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Q: Find the values of x and y that make the quadrilateral a parallelogram. 4x + 6 4y - 3 Зу + 1 7x-3 y…

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Q: Find the area of the triangle with vertices P=(1,1,0), Q=(0,2,1) and R=(2,0,0).

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Q: For the three vectors a, b and C , it is found that à•bxT = 0. Which statement below is true? %3D

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Q: If the volume of the parallelepiped determined by the vectors ä, 5, č e R³ is A cubic units, which…

A: Consider the provided question, a→∧3b→∧b→∧c→Let a→∧3b→=u→a→∧3b→∧b→∧c→=u→∧b→∧c→…

Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: Given the vectors a = (1, 2, 3) and b = (1, –1,2), what is the dot product a · b · a? 4 14 (7,1, –…

A: a=(1,2,3)  and b=(1,-1,2)a.b.a  is dot product of three vectors

Q: Find the value of x and y in the rhombus. yo 3x° 2x° y = IL ||

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Q: If a = (4, 3, 1, – 2), ß =(-2, 1; 2, 3) tween a and ß. are two vectors in V(R), find the angle be-

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Q: 12. Use one of the properties of paralelograms to prove ABCD is a parallelogram. A(0, 01 6-4 -2 -2…

A: In parallelogram ,opposite sides are congruent.

Q: The diagonals of a rhombus are 12 and 16. What id the height? Compute the area and perimeter

A: Since, diagonals of rhombus are 12 and 16.Area of Rhombus=d1×d22, where d1 and d2 are the lengths of…

Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: First we will find out the vectors from the graphs ,

Q: ectors to decide whether the triangle with vertices P(1,-3,-2), Q(2,0,-4), R(6,-2,-5), and is…

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Q: What is the angle between the vectors and О т/4 Ο π/3 Ο π/6 O T/2 О Зл/4 27/3

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Q: For vectors and shown, drawu - 2 13 19 V

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Q: Find measures of the angles between the diagonals of the rectangle whose vertices are A = (1,0), B =…

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Q: J(5. -1), K(8, 2). L(11, 10), M(8, 7)

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Q: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? 2 В 3 4 A C

A: topic - polygons

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

A: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

Q: Suppose u = (0, –2) and v = (2, 2) are two vectors that form the sides of a parallelogram. Then the…

A: This question is based on parallelogram diagonal.

Q: Lines a, b, and c are coplanar, a II b, and a ± c. What can you conclude? explain?

A: Consider the given information as a∥b and a±c

Q: Consider rectangle RSTU, where the diagonals of the rectangle intersect at point W. R S W U If RW =…

A: Option D is correct In rectangle diagonal bisect each other.  So 5x-10=3x+6 2x=16 X= 8 So RW=…

Q: Given perpendicular vectors a = (5,3,-1) and 6=(2,2,k), find ||||.

A: Given perpendicular vectors a→=5, 3, -1,     b→=2, 2, k   To Find: b→

Q: Find the area of the parallelogram with vectors a = 3p+ 2q, b= 2p-qwhere \pl = 4, lq] = 3, (p, q)…

A: To find the area of the parallelogram with the vectors a=3p+2q,b=2p-q where p=4,q=3,p,q=3π4.

Q: Find the sum of the given vectors. (2, -4), b = (-1, 7) a + b = Illustrate geometrically.

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Q: Find the area of parallelogram ABCD with vertice A(7,5,2), B(-1,2,9), C(6, –3, -4) and D(5,7,3).…

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Q: 19a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2).…

A: Given: The coordinates of the quadrilateral are: A=2,0B=3,4C=-2,6D=-3,2 To Prove: ABCD is a…

Q: P(2, 2), Q(4, 2), R(8, 8), S(10, 8)

A: Given vertices are P(2,2) Q(4,2) R(8,8) S(10,8) find the area of the parallelogram

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az * O…

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Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

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Q: - Find the lengths of triangle ABC using vectors, knowing that: A (3,1), B (6,4), C (-1,3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: what's the perimeter of the quadrilateral with the coordinate planes of J(-2,3), K(3,7), L(6,5),…

A: .

Q: B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2.…

A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

Q: The area of the parallelogram with vectors R(1,2,-1), P2(4,2,-3), P3(6,-5,2).P4(9,-5,0) is a) 998 b)…

A: Consider the given vectors P11,2,-1,P24,2,-3,P36,-5,2, and P49,-5,0. Use the given vectors and draw…

Q: 2. The diamond in a deck of playing cards is a rhombus. What does that mean about its diagonals?

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Q: Show whether or not the diagonals of parallelogram ABCD bisect each other given A(-2,2), B(1,4),…

A: The vertices of the parallelogram are given  A(-2, 2) B(1, 4) C(2, 8) D(-1, 6)

Q: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: 3. Explain why if u and v are perpendicular, u x v= uv.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.