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Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: Let P = (0,0, 0), Q = (1, –1, –2), R = (2,1, 1). Find the area of the triangle PQR. area = Let T =…

A:

Q: 12. Given u = 2i - 5j and v = i + j, find each of the following. b) |- 5v| %3D a) -2u - 3v c) 3v -…

A: Dear Student, according to the Bartleby guidelines, we can answer only first three subparts of a…

Q: d Fill in the chort: use 3 2 lost 2 coso -) 30° 60° 120 180 240° 2300 3000 230° 160

A: The solution is given below

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: 26. Given: B is the midpoint of DC. ABL DC 1. B is the midpt of DC, AB 1 DC 2. 3. 4. Prove: AABD =…

A: Consider the triangle

Q: Exercise 3.48. Let A,B,C,D be points such that AB = CD. Prove that {A, B} = {C,D}.

A:

Q: . For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line = (2,-1,-2) + t(3,1,-2)…

A: I have appended the formula used in the solution part of the question

Q: 9. Find the point C such that AC = ² AB. 4

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Q: Let vi = 2 v3 2 and u = If u e Span(v), v2, v3) then the value of r is a) 8 b) 7 c) 6 d) 5 e) 4.

A: We use the definition of the span of a set of vectors to find the value of x.

Q: 8 Consider the following three points: A(1, 2, -3), B(3, 5, -2) and C(m, 1,-10m). Determine m so…

A: I am attaching image so that you understand each and every step.

Q: Integrate the fallswingfuntinne aver the given regionr s R: the circle x+y=t and y=x? thiss

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Q: If pt B is lies between pts A(3,10) & C(7,-4) Give the coordinates of pt. B

A: This is a problem  related to finding coordinates of the middle point lies on the line segment…

Q: Min 2= 2x, t SX ₂. subject to: 2x1 + x₂4 25 2x,. 420 - X₁ + 10x₂ ≥20 5X₁ + 3x₂ > 15 X₂ ≤ 15 X₁20 x…

A: To Solve: The following optimization problem: Min z=2x1+5x2. Sub to…

Q: 2. If B is the midpoint of AC, which of the, following must be true? I. АВ + ВС 3D АС II. 2ВС - АС…

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Q: which of the following is not a property of r? 1) r does not depend on the units of y or x. 2) r…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: 1). Let, 2=x+iy *,y€R. In this case, (a). Prove the equations 2-2+2 and a = i.2 %3D %3D

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Q: Lengths of all sides of the triangl Both types (vector and parametr Both types (vector and parametr

A: Here, in the question, we have to pick three non-collinear points A, B & C ( A(2, -1, 2), B(-3,…

Q: Let P and Q be two points in R’. If P = (1, 2, 3) and PQ then Q = (O0:C) 2

A: if P = ( P1, P2, P3 ) and Q = ( Q1, Q2, Q3 ) are two points in ℝ3 then

Q: Q/Lx 5²= {(xX₂, X₁) ER² : x² + x² + x²³²-13 be centered in a ball (0,0,0) andradius 1 Prove that…

A:

Q: marked on the plane, any three of which were not collinear. These points determined 36 straight…

A:

Q: Deduce the conclusion from the premises giving a reason for each. a. pv q b. q→ r c. past d. ~ r e.…

A: Kindly refer to Step 2 for the solution.

Q: 2) What is the relationship between 2J andOZK? K Supplementary Adjacent Vertical Complementary…

A: If sum of two angles is 90 degree. Then the angles are called complementary.

Q: Find the projection of v

A: Here v→=2i^-2j^    and w→=-3i^+j^

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

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Q: 1. Let u = (1,2,3) and v= (1, x, 0) and w= (0,1,0). a. Find ||u + w||. b. Find (u, u + w) + ||u||.…

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Q: Q3. Let ABC be a triangle in the E.G.such that for some mR(ZBAC)=a,MR(ABC) = B positive real number…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

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Q: 4. In the illustration, points M and N are the mid- points of AC and BC, respectively. Show that…

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Q: Which statement about this figure is true because of the Linear Pair Postulate? M P Q N R

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Q: Exercise 8. Let u = (0, 1,2,0), and w = (1, 1,2,0). Then the distance between u and w is: a. 3 b. 2…

A: As we know that; The distance between two points in 4-dimensional space is given by:…

Q: A 12/08121 3, 12 D 10 -AABC~ADEF by SAS~ -AABC~AFDE by SAS~ |-AABC~AEFD by SAS~ -Not simi lar;…

A: Two triangles are said to be similar triangles If their corresponding angles are congruent and their…

Q: D. 12 в. 12- В. 24 48 K R JK and RS are parallel. Whi following statements is true JR KS A. QR С. QJ…

A: Solution