Graph the rhombus ABCD with A(-1,-1), B(0,2), C(3,3), D(2,0), and its image after translation <2, -5>. What are the coordinates of A'?

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: Which of the points A(9, 0, 3), B(6, 5, 6), and C(2, 9, 2) is closest to the yz-plane? Which point…

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Q: Find an equation for the plane that passes through the point (-7, 10, –8), is parallel to the line x…

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Q: Give the general equation of the plane containing the point (3,-1,4) and perpendicular to the line =…

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Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: Find the distance from the point (-5, -1, -3) to the plane 5x + 3y + 2z = 1

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Q: Find an equation for the plane in R³ spanned by the points (1,5,

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Q: The plane passes through the point (18, -16, 9) and contains the line given by = = z . 1.

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Q: What angle does the line of intersection of the planes 2x + y - z = 0 and x + y + 2z = 0 make with…

A: Given:The planes 2x + y - z = 0 and x + y + 2z = 0

Q: The midpoint of AB is M(-1, -5). If the coordinates of A are (3, –8), what are the coordinates of B?

A: A detailed solution is given below

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: Find the equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4)

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Q: Find the point on y – axis which is equidistant from the points (3, 1, 2) and (5, 5, 2)

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Q: Find the distance from the point (3,-7,-1) to the plane -x + 5y + 2z = 34.

A: Here is the solution:

Q: Find the​ distance, d, between the point S(6,9,10) and the plane 10x+7y+1z=60.

A: Answer is 73/5√6.

Q: The midpoint of AB is M(-4,0). If the coordinates of A are (-6, 4), what are the coordinates of B?

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Q: 4. Rhombus WXYZ with vertices W(1, 5), X(6, 3), Y(1, 1), and Z(-4, 3): x-axis

A: Given vertices are: W (1,5)X (6,3)Y (1,1)Z (-4, 3)

Q: Determine the general cquation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

A: We have to find equation of ohm plane

Q: Find the distance from the point (-2,0,3) to the plane given by the equation 3x+4y 5.

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Q: Find the value of x and y in the rhombus. y° 3x 2x

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Q: Parametrize the line segment joining the points P(1, 2, 0) and Q(1, 3, -1).

A: We know that equation of line passing through the points (x1,y1,z1) and (x2,y2,z2) is

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5- -10 -5 10 -5- 5

A: The coordinates of vertices of the blue triangle (1st quadrant) are A1, 1, B3, 1 and C3, 5. Now, Use…

Q: Find the equation of the plane con taining the points Р(4, -1, 3) Q(1, -2, -1) and R(1, 0, 8)

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Q: the coordinate plane be

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Q: Find the per meter rhombus with of p c-2,3),01,1) RC4-3),5Ci,-7)

A: Given,quadrilateral is not a rhombus In a rhombus all sides are equal Perimeter of any quadrilateral…

Q: Find the intersection of the line r(t) = (2, 1, 3) + t(3, -3, 1) and the plane 4x - 4y - 2z = 6.

A: Given, Line-&gt; r(t) = (2, 1, 3) + t(3, -3, 1) Plane-&gt; 4x - 4y - 2z = 6 ------equation 1

Q: Find the point on the plane 2x + y + 4z = 5 that is closest to the point P(4, 3, 5). (x, y, z) =…

A: We are given a plane 2x + y +4z = 5, and we are asked to find the co-ordinates of the point on the…

Q: Which of the points A(-4, 0, -1). B(3, 1, -1), and C(2, 4, 6) is closest to the yz-plane? Which…

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Q: Points M,N,P, and Q connecting together produces a rhombus MNPQ with diagonals MP and QN of the…

A: A rhombus is a type of quadrilateral whose four sides are of the same length. The angles of a…

Q: Find the angle between the planes 3x-6y – 2z = 15 and 2x +y – 2z = 5

A: Recall: Vector method, cos θ=n1·n2n1n2 We have, n1=3i-6j-2k, n2=2i+j-2k

Q: Find the condition for the points (a,0) ,(h,k),(0,b) when ab is not equal to 0 to be collinear

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Q: find the distance from the point to the plane. (6, 0, -6), x - y = 4

A: x1,y1z1=6,0,-6…

Q: 4. Rhombus WXYZ with vertices W(-2, -4), X(1,-2), Y(4, -4), and Z(1,-6):x-axis W: Y: X': Z':

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Q: Find the equation of the perpendicular bisector of th segment joining the points A(2, 3) and…

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Q: Find the point at which the line (4, –1, 4) + t(4, 2, 3) intersects the plane 4x 5y + z = 88.

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Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and…

A: The equation of the plane is

Q: What is the image of the point (-5, 2) under the translation T34?

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Q: If this trapezoid is moved through the translation (x+3, y-2), what will the coordinates of B' be?

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Q: Find the angle between the planes x+ y=1 and 2x+у-2z32?

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Q: 50

A: Here given graph as Use the basic property of the rhombus 1.  The opposite angles of a rhombus are…

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: How can we recognize if the two planes were parallel or not

A: Consider the vector equation of the two given planes as, r→·n1→=d1r→·n2→=d2 Here, n1→ and n2→ are…

Q: Find the angle between the planes (x+y+za1)and. (x-24+32-1). And find the Symmetricequations for the…

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Q: The plane containing the point (-4,1,3) and parallel to the plane 4x + 7y – 3z = 2 has equation Ar +…

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Q: Which of the following point is the projection of the point (0, 4, 2) on the yz-plane?

A: In this question we have to find the projection of the point on the yz-plane.

Q: Find the distance from the point (-2, 1, 4) to the plane x = 3

A: Given: The point -2,1,4 and plane x=3 To find: Distance from the given point to the given plane.

Q: Find the point on the plane 3x+4y+z=8that is nearest to​ (2,0,1). What are the values of​ x, y,…

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Q: Find the equation of a plane containing Po (1, 2, 3) and perpendicular to n = .

A: We have to find the equation of a plane containing P0 (1,2,3) and perpendicular to n = &lt;1, -1,…

Q: Find the distance from the point (7,-9,-5) to the plane 3x + 5y = 51.

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Q: Find the value of x and y in the rhombus. yo 3x 2x x= 30 y 3=

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