Determine whether the planes are parallel, perpendicular, or neither. 3x + 12y – 9z = 1, -27x + 54y + 63z = 0 O parallel O perpendicular O neither If neither, find the angle between them. (If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.)

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

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Q: Write the equation in terms of a rotated x'y'-system using θ, the angle of rotation. Write the…

A: Given equation is We know that relation between coordinates (x,y) and (x',y') is Now,

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Given that, II v II= 3, θ = 0°

Q: i x2 + 3x + y? = 24 and y = 2x + 1 ii x2 – 5x + y? + y = 17 and y = 2x – 1 %3D -

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Q: Complete the square to rewrite the following equationIdentify the center and radius of the circleYou…

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Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

A: If co-ordinates of A is (x1,y1)and co-ordinate of B is (x2,y2)then midpoint of AB isx1+x22,y1+y22

Q: Which points have the coordinates -2, 0. 5) (2,5) and (3. 5,-4) on the coordinate plane? De Be -2 -2…

A: On co-ordinate dimension, any point is represented by (x,y). It implies that the first term is x…

Q: Find the component form of u + v given the lengths of u andy and the angles that u and v make with…

A: We can solve this as follows:

Q: If v = −3w, then (choose the correct answer):(a) v and w are parallel.(b) v and w point in the same…

A: If v = −3w, then (choose the correct answer): (a) v and w are parallel. (b) v and w point in the…

Q: convert the following equations to cartesian: a)r=4csc(tehta)   b)r=2sin(tehta)…

A: Polar to Cartesian Conversion: r2 = x2 + y2 x = r*cos θ y = r*sin θ

Q: the coordinates of u and respectively relative to an 2+(a+6)r3y3+3(r12+r2y1)-6

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Q: Ex2 :- given P(6,125°,-3), Q(3,-1,4) find the distance from :a- P to the origin b-Q perpendicular to…

A: Given- Given P6, 125°, -3, Q3, -1, 4 To find- Find the distance from P to the origin Q…

Q: AD is a perpendicular bisector. AC = 32, CB = 6x +2. CD = 2x + 4. Find x. A B X =

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Q: Given A=[a,] and B=[b,] are 3x3matrices. (i) If a, = 2i – 7j and b, =-4i + j, find A and B. (ii)…

A: follow next step

Q: Given points A = (0,0) and B = (-2,7), find coordinates for points C and D so that ABCD is a square.…

A: We are given the points A=(0, 0) and B=(-2, 7). Now, we need to find the co-ordinates for points C…

Q: If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?  I…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 7x + 28y - 21z = 1, -3x + 6y +…

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Q: 2. Given: CE is the perpendicular bisector of FG. F 8 D

A: Consider the following figure: GD¯=9 unit

Q: Find the distance AB: A = (-2, 1) and B = (5, -4) Simplify. d = V(5 - -2)² + (-4 – 1)² %3D A d =…

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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: 2. Let A = (2, 3), B = (5, 7) and C = (3, 5). (a) Determine the equations of the perpendicular…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 2x + 8y – 6z = 1, -6x + 12y +…

A: To determine whether the gives planes 2x+8y-6z=1, -6x+12y+14z=0 are parallel, perpendicular, or…

Q: Find the values of x and y in the parallelogram. D. y A 24 x-2 11 B a x = 11, y= 26 O b x= 24 y 13 x…

A: To determine the value of x and y.

Q: Q/ Find the angle between the Planes 2 X -6y-z= 9 x + y +52=16 and 3D

A: Note:- Angle between two plane is given by...

Q: Qz Find the angle between the m Ā = 21 - 10j - 11k,B and À xB , CÀXB) Ä 3 = 2 i +2j + k

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Q: If i = v-1, which point shows the location of 5- 2i on the plane?

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Q: Which angle number represents the linear pair of ZSXT? X\1 R 3 2 S W Y|4 65 U

A: Please see the below explanation.

Q: Consider the points A(-8, 0), B(4,0), and C(7,0). Find the coordinates of D if H(AB, CD).

A: Solution :-

Q: Line / is the perpendicular bisector of AB. 3 cm A D B Find AC: cm

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Q: The coordinates of three points are A(-1,-6), B(3,-12) and C(k,6). Find the value of k if (a) A, B…

A: The coordinates of the given points are A(-1,-6),B(3,-12) and C(k,6).

Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

A: introduction:-let A and B are the endpoint of line segment AB whose cordinate (x1y1) and x2y2…

Q: Determine whether the planes are parallel, perpendicular, or neither. 6x + 24y - 18z = 1, -12x + 24y…

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Q: Given A(-1, 2) and B(3, -4), find a general form of an equation for the perpendicular bisector of…

A: Given A(-1,2) and B(3,-4), find a general form of an equation for the perpendicular bisector of…

Q: 7. x = y =- 155

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

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given u=9, θu=0° v=2, θv=60°

Q: Q Find the adjoint of square metria 3. (A')- 니 6 0 2

A: We have  to find adjoint matrix. As per guideline we have to solve only one question

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: It is known that, Magnitude of vector v, || v || = 4 units  Angle made by v with x-axis, θ = 3.5°…

Q: Mahmoud drives from his home to the local library, then drives to a grocery store, and then returns…

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Q: (x+2)? (y–1)² 2 36 = 1 9.

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Q: In JKLO, OL = 5a. What are the coordinates of L and J? %3D K(Sa+ 4b,5c) The coordinates of L are…

A: We have to find the co-ordinates of L and J

Q: Mahmoud drives from his home to the local library, then drives to a grocery store, and then returns…

A: This question is based on geometry and distance formulas

Q: Parallelogram ABCD has diagonals AC and DB that intersect at P. If AP=8x−56, PC=24, PB=36, PD=4y+20,…

A: AP = 8x-56   ,   PC = 24            , PD=4y+20Pc = 24            ,  PB = 36AB = 4x+3y  , BC=5x-4y

Q: ZA and ZB are vertical angles. If mZA = (3x + 3)° and m/B = (4x – 8)°, %3D | then find the value of…

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Q: ABCD is a parallelogram. The coordinates of A, B and C are (4, 1), (1, −2) and (−2, 1)…

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Q: Given points A (3, - 5) and B (19, -1), find the coordinates of C such that CB:AC = 2:7

A: A point lying on a line segment can divide the line segment in the ratio of m:n. The coordinates of…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.