Determine whether the planes are parallel or identical -7x + 4y - 9z = 5 14x - 8y + 18z = 9 The planes are parallel. O The planes are identical.

Q: Determine whether the planes are parallel or identical. -6x + 4y – 9z = 5 18x - 12y + 27z = 14 O The…

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Q: А. Find the real number ( B ) such that the line of symmetric equations у-2 x- 3 = =3 is parallel to…

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Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: Q5/ find the equalion of bhe plane that Condains the Line: x-!= +!2= and the Point A(5,1,) %3D 2.

A: See the attachment

Q: Find the point, P, at which the line intersects the plane. x = - 2+ 2t, y = - 3+ 8t, z= - 10 + 4t;…

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Q: Find the x-, y-, and z-intercepts of the plane. (If an answer does not exist, enter Di 4x - 5y + 2z…

A: for x intercept, y=z=0 for y intercept, x=z=0 for z intercept, x=y=0

Q: Find the distance (d) between the planes – 3x – 4z = – 11 and – 3x – 4z = – 23. - d = Question Help:…

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Q: Determine if the planes 3x + 2y- z 7; x-9y+ 2z 0 are parallel, orthogonal, or neither. If they are…

A: We will one by one check whether the planes are parallel, orthogonal. And then we I'll find the…

Q: The distance beyween the planes 4x – 9y + 9z = 3 and &x – 18y + 18z = 2

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Q: Determine whether the planes are parallel or identical.

A: Now, simplify the second equation of plane,

Q: Find the distance the point P(1, 6, 3), is to the plane through the three points Q(-4, 3, 1), R(-9,…

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Q: II. Find the value of x and y so that the figure is a parallelogram. 6. x =, y =. 7. x =. y =. Зу 2x…

A: 6. Since in a parallelogram the opposite pairs of sides are parallel to each other, we must have:…

Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2, -1) and is parallel…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: The picnic table is located 8 meters from the slide and 6 meters from Holly. The duck and duckling…

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Q: Determine whether the planes are parallel or identical. -5x + 3y –8z = 5 15x - 9y + 24z = 14 O The…

A: Two planes A1x+B1y+C1z =d1  and    A2x+B2y+C2z =d2  are parallel if                      A1A2 = B1B2…

Q: The quadrilateral ABCD on a coordinate plane has the following characteristics. AD can be…

A: Please find the detailed solution.

Q: Find the point, P, at which the line intersects the plane. x= - 7+ 9t, y= -7-5t, z= 8- 10t; 9x – 9y…

A: Please refer to the image below

Q: Find the point, P, at which the line intersects the plane. x= 5- 3t, y = 4+ 6t, z = 10 - 3t; - 8x+…

A: Explained below

Q: Q4. Find an equation of the plane that passes through the origin and the point (1,1,1) and is…

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Q: 5. EFGH is a parallelogram ZE = 2x - 7 ZF = x + 34 Find 2G and ZH H.

A: Using Properties of Parallelogram.

Q: Find the point, P, at which the line intersects the plane. x= 5+ 4t, y = -6 – 9t, z = - 9+ 8t; – 4x…

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Q: Architecture In the fire escape, mz1 = (17x+ 9)", m2 (14x + 18)°, and x 3. Show that the two…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 2x + 8y – 6z = 1, -3x + 6y +…

A: Given planes are ,                  2x+8y-6z=1                -3x+6y+7z=0The normal vector of…

Q: 10. Paralleogram ABCD has vertices A(-1,4), B(3,2), c(3,-4), and D(-1,-2). y A(-1, 4) B(3, 2) 4-2 2…

A: Given, Parallelogram ABCD with vertices  A-1, 4B3, 2C3, -4D-1, -2  We have to find the equation…

Q: Find the equation where the planes 2x - 3y + z = 5 and x +y -z = 2 intersect. Write step by step.

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Q: ough the point P(6, - 2, - 7) and parallel to the plane 4x + 7y+ Ty+2z = - 4 Ey + 4z = - 4 Ey - 7z =…

A: Plane : 4x+7y+2z = -9 Point : (6,-2,-7)

Q: - 2y : Sketch in one coordinate plane the circies 2x – 6y + 6 = 0. Then, find their points of…

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Q: Q3/ Find the equation of the plane that contains the line 3-х 2+y = 3 – z, and the point P (1, 4,…

A: Equation of the plane

Q: The number of variable A plane in R³ is a two The dimension of the

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: Questión Determine whether the following planes are parallel, orthogonal, or neither. If they are…

A: The normal vectors are given by The dot product of the normal vectors is given by:

Q: H.W 7- Determine whether the four points P:(1, 1, 2), P:(4, 0, 3), P:(1, 5, 10), and P:(7, 2, 4) lie…

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Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x…

A: We have to find out the point of intersection

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: 7. x = y =- 155

A: Consider the figure of parallelogram such that one angle is 155°. Evaluate x and y

Q: Determine whether the planes are parallel or identical. -5x + 3y - 8z = 5 15x – 9y + 24z = 14 %3D O…

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Q: ABCD is a rhombus. Find AD. A 5х - 5 B 5y -7у - 10 3x + 9

A: Given data is : ABCD is a rhombus  AB=5x-5CD=3x+9 In rhombus all the sides are equal. Therefore ,…

Q: Determine whether the planes are parallel or identical. -7x + 4y – 9z = 5 14x - 8y + 18z = 9 The…

A: Here we have to determine whether the planes are parallel or identical.

Q: W R Name the intersection of planes QRS and RSW. Name the intersection of planes TXW and TQU. Name…

A: Given

Q: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…

Q: Find the distance between the parallel planes P and P2 P: 2z-y+3z - 6 0 P2 : -4x + 2y – 6z – 2 = 0…

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Q: Q/ Find the angle between the planes (x+y+Z=1)and (x-2y+32=1). And find the Symmetric equations for…

A: We have to find angle between two planes

Q: ABCD is a rhombus where MLDAC = 4x + 9 and M2DAB = 11x – 3 A D /hat is the MLABC?

A: Solution: The objective is to find the required values

Q: C:- find the line of interseetion of the plane -2x +7-2=24 given by 3x +6y-52=-3 f the plane

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A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1)…

Q: Determine whether the planes are parallel or identical. -5x + 2y – 8z = 6 10x – 4y + 16z = 11 The…

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Q: How can you tell when two planes A1 x + B1 y + C1 z = D1 and A2 x + B2 y + C2 z = D2 are parallel?…

A: Two planes are parallel if their normal vectors are parallel.Normal vector of A1 x + B1 y + C1 z =…

Q: What is the axis of symmetry of y=z² - 5z? O z= 2 O z= O z= O z= 2 5 52 12

A: To find the axis of symmetry.

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 2 2x - 10y – 2z =…

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Q: Determine whether the planes are parallel, perpendicular, or neither. (a) P1:2r - 3y – 8z – 2 = 0…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.