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Q: Consider the points A=(2,7,-4) and B=(4,5,7) in R3, one way to write the parametric equation of the…

A: Given :- Consider the points A = (2, 7, - 4) and B = (4, 5, 7) in R³, To find:- one way to write the…

Q: Solve. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter…

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Q: X: Find the gnge e in the tr

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Q: 3. A plane in 3D-space system A. is generated by at least three points. can lie in more than one…

A: A plane in 3D space, (a) A plane is generated by at least three points. (b) can lie in more than one…

Q: A particle traveling around the circle (x-2)^2 + (y-1)^2 = 49. Write parametric equations for each…

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Q: (32) a]  A square has vertices at (0, 0) and (2, 0). Where are the other 2 vertices? (There  are 3…

A: This question can be solved using the concept of distance formula.

Q: Q3: a) Find an equation for the plane through P(0,1,-2) perpendicular to n= 3i- 2j+k

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Q: 7) Find x, y, and z in the rhombus below. 12

A: Given: Length of the side of a rhombus is, a=12. One of the angle between a diagonal and a side is…

Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

Q: Are the following statements true or false? If true, explain why. If false, provide a counter…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Consider the equation =ay - y² = y(a — y). dy dt - a) Consider the cases a 0. In each case find the…

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Q: Are these points collinear? a) A(-1, –2), B(3, 2), and C(5, 5) b) D(a, c – d), E(b, c), and F(2b —…

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Q: a) How many leading ones are in the RREF of a system of ten equations in ten variables having a…

A: (a)  Answer : 8    Explanation :  Number of variables - number of leading ones = number of…

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: 9 Find the with a area of the parallelogram Verticles vertices; PC0,0,0), QC3₁=3₁-9), R (3₁-1₁-²5)…

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

Q: Q-3: a) i. Is (9,0,9) in W? Justify your answer. ii. Is W = R³? Justify your answer. Let W =…

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Q: (1.3) 8ymmihic trom of the line ,& . A180 find its general form. (1i4) check which þair of planes…

A: Given lines are, π1:2x-y+z=6π2:x+y+2z=3π3:3x-4y+5z=10π4:2x-y+z=3π5:x-3y+2z=1

Q: (d) Find vectors u, v € R³ such that the solution set of the equation x+y-z = 0 can be written as…

A: The solution set of equation is x+y-z=0.

Q: 4) Again let Universe U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Let S = {1,2}, T = {2,4,6, 8}, R =…

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Q: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 & n2 . Now here n1≠ k n2  , where k…

Q: Do the three planes, x+y−3z = 2, 2x+y+z = 1, and 3x+2y−2z = 0 have a common point of intersection?…

A: Fact 1 :Three planes a1x+b1y+c1z=d1                    a2x+a2y+c2z=d2…

Q: In the study of plane geometry, certain basic statements called axioms or postulates are accepted as…

A: To check if the statement is true or false

Q: G. CSection 3.ly 3.2) Consider the aurpoces in R depined by the equations O Whab shapes are…

A: given that surfaces in ℝ3 and,  f(x,y)= 2x2 + y2   and g(x,y)=  1+ x2 + y2

Q: C. 2. Solve for x and then find the indicated lengths. AC = 23 A X+2 B > E- XL = X %3D

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Q: 1.) Use Cramer's rule to solve (if possible) 14x, - 21x, – 7x3 - 4x, + 2x2 – 2x3 = 56х = -21 , —…

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Q: Exercise 4.4.15. Consider a plane with Cartesian coordinates. Let O be the point (0, 0), let A be…

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