Q: Find a parametric equation of the line passing through the point (3,-1,-3) and perpendicular to the…
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Q: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear
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Q: Select a parametric equation that represents the line that passes through the points (3,0,−2) and…
A: Find the direction vector of the line using the two points
Q: Determine the coordinates of image point after a rotation of 25 degrees about (0,0) from point (4,0)
A: Use rotation matrix
Q: As part of video game, the point (2,3) is rotated counterclockwise about the origin through an angle…
A: Given as part of video game (2,3) is rotated counterclockwise about origin through an angle of 40…
Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?
A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…
Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and…
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Q: 4. Point P is located at (4, 8) on a coordinate plane. Point P will be reflected over the x-axis.…
A: Solution:- point p is located at (4,8) on the coordinate plane. which is reflected over the x- axis.…
Q: As part of video game, the point (2,6) is rotated counterclockwise about the origin through an angle…
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Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?
A: The given point is (3,4,5).
Q: What is the 180 degree counter clock wise rule which transformed the pre-image ordered pairs (3,6)…
A: We see that 3 has been transformed to -3 and 6 to -6. Hence
Q: Find the parametric equations for the line segment from (5,-1,1) to (5,4,3)
A: The given points are 5, -1, 1 and 5, 4, 3. The parametric equation of a line segment joining the…
Q: What are the new coordinates of point M (-8, 3) after a rotation 180° counterclockwise? • (8, -3) •…
A: We find new point after 180 degree rotation counterclockwise.
Q: Determine the parametric and symmetric equation of line passing through the points (1, –3,2), (5,…
A: To find the parametric and symmetric equation of line passing through the points (1,-3,2) ,(5,-2,8)…
Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…
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Q: What is the image of the point (3,-6) after a rotation of 90° counterclockwise about the origin?
A: Consider the given point 3,-6
Q: Point A is at (3, 5) and was reflected so that its image is at (-3, 5). Which axis was it reflected…
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Q: what are four popular and successful logos that have a reflection and state where the line of…
A: Answer
Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…
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Q: .A line I through the point (5,3,-6) has direction co quations of the line.
A: Introduction: We know that the vector equation of any line has the form r=r0+tv, where v is the…
Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…
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Q: Point U is located at (4,-3) on the coordinate plane. Point U is reflected over the y-axis to create…
A: Given: Point U : ( 4 , -3 ) Point U' : U reflect over y-axis Point U" : U' reflect over x…
Q: What is the image of the point (-6,4) after a rotation of 180° counterclockwise about the origin?
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Q: 3. If point (-3, 5) is rotated counterclockwise 180 about the origin, its image will be point 1) (5,…
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Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?
A: To determine the parametric equation of a line segment.
Q: What is the image of the point (−5,−4)(−5,−4)after a rotation of 180∘180∘ counterclockwise about the…
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Q: What is the image of (-2,3) under the reflection in the x-axis?
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Q: 11. Explain point symmetry, line symmetry, and rotational symmetry.
A: We have to explain point symmetry, line symmetry, and rotational symmetry.
Q: point P(1, 1, –3) and orthogonal to the plane 3y – 4x + 2z = 3. |
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Q: What is the image of the point (-7, -8) after a rotation of 180 counterclockwise about the origin?
A: Under rotation 180° about origin,a point (x,y)→(-x,-y)Hence (-7,-8)→(7,8)
Q: Make a general statement regarding invariant points after a reflection in the x-axis and then in the…
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Q: What are the coordinates of the image Do.5 (3,5)? coordinates = ( O (3,5) O (1,2) O (1.5, 2.5) (5,3)
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Q: What is the image of (-2,-2) under the reflection in the line x+y-1=0. (3,3) O (-1,-1) O (1,1) O…
A: What is the image of (-2,-2) under the reflection in the line x+y+1=0
Q: Consider the point. (4, 5, 6) What is the projection of the point on the xy-plane? (х, у, 2) 3D (|…
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Q: What is the image equation of the line 2x+y-1=O under the rotation about the point (1, -1) at an…
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Q: What is the image of the point (-9,3)(−9,3) after a rotation of 180∘ counterclockwise
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Q: What are the coordinates of reflection of K(6,11) in line y=x
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Q: What is being constructed in the image?
A: Choose a correct option.
Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)
A: The line through the points (2,8,3) and (11,20,21)
Q: How to find an equation of a plane through a specific point such as (3,0,3)?
A: There can be infinitely many planes passing through one point and hence you can not find an equation…
Q: What is the image of the point (-7,5) after a rotation of 180° counterclockwise about the origin?
A: Rule for rotating 180⁰ counterclockwise about the origin If we are rotating any point (x,y) about…
Q: Show that the points (5,4,2),(6,2,-1) and (8,-2,-7) are collinear
A: The points are A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) The points are collinear if the directional…
Q: Point C is located at (1, –2) on the coordinate plane. Point C is reflected over the y-axis to…
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Q: What will be the new coordinates of point M (-5, -7) after a rotation of 270° counterclockwise about…
A: To fins the new coordinate of point M (-5,-7) after a rotation of 270° anticlockwise about the…
Q: Find a set of parametric equations for the line segment from (-1,5) to (9,–4).
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Q: Is the point (-3, -4, 2) visible from the point (6, 7,0) if there is an opaque ball of radius 1…
A: Find the value of x, y and z. The value for the variables are computed by using the midpoint…
Q: What is the image of the point (-7,9) after a rotation of 270 counterclockwise about the origin
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Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th
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Solved in 2 steps with 1 images
- Show that the distance between the two points z1 and z2 in anArgand diagram is | z1 - z2 | .What are the coordinates of the point on the directed line segment from (-1, 4)(−1,4) to (8, -8)(8,−8) that partitions the segment into a ratio of 2 to 1?. What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a pictureand show the point (−2, 3, 4) and its three projections.
- what are the coordinates on the directed line segment from (-7, -9) to (-2,-4) that partitions the segment into a ratio of 1 to 4?The triangle whose vertices are (2,5),(3,1),(2,5),(3,1), and (4,2)(4,2) is transformed by the rule (x,y)→(x−2,y+4)(�,�)→(�−2,�+4). Is the image similar or congruent to the original figure?The shortest distance from (−7,6,−8) to the xy-plane is:
- What is a path on the Topologist's comb between (0,1) and (1,0)? Note that the Topologist's Comb is not the same as the Topologist's Wave.Prove that points A(2,4,3), B(4,5,1), C(5,0,11), and D(5,4,3) are coplaner.What is the midpoint between points (4, 7) and (1, 1)?Enter your answer in the boxes. ( , )