Suppose point A(6,3) was rotated counterclockwise and became A'(-3, 6). What is the angle of rotation the maps A->A'?

Q: A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this…

A: We answer only one question at a time , so we will answer the first question since the exact one…

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: Consider triangle 1 and triangle 2. Which statement is true? The two triangles are not similar…

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Q: Find the parametric equation for a line through (5,-1,1) which is perpendicular to the line segment…

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Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

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Q: Suppose point A(9,2) was rotated clockwise 90 degrees around the origin.  What is the x coordinate…

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Q: Find the coordinates of the point 7 of the way from A to B. of the way from A to B are The…

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Q: As part of video game, the point (2,6) is rotated counterclockwise about the origin through an angle…

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Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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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: The length and diameter of a spaceship as  determined by an astronaut on board are 76m and 23…

A: The length and diameter of a spaceship as  determined by an astronaut on board are 76m and 23 m,…

Q: 1 What is the image of the point (-4,-2) after the reflection over the line y = - -X- 1?

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Q: are the new coordinates of A(-5,4) B(-1,3) and C(-4,1) when rotated 75 degrees counterclockwis

A: To find the new coordinates of A(-5,4), B(-1,3) and C(-4,1) when rotated 75° counter clockwise.

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 distance between the point (5,-4, 1) and the plane containing the points (4, -2, 3), (-1,…

A: Here we have to find the distance between the point (5,-4,1) and the plane containing the points…

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: 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: find the tangent of the angle from the line through (-2,-3) and (4,3) to the line through (-1,6) and…

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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 the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: 6. Center at (2,-3), one corner of auxiliary rectangle at (-1,-5), conjugate axis is horizontal

A: Given: Center: (2, -3) One corner of auxiliary rectangle at (-1, -5), conjugate axis is horizontal.…

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: What is the 270 degree counter clockwise rule which transformed the pre-image ordered pairs (3,6) to…

A: To find The 270 degree counter clockwise rule which transformed the pre image ordered pairs (3,6) to…

Q: 1. Line L passes through point P(-2,5, 7) and having [4,-3, 2] as set of direction numbers. Find the…

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Q: The coordinates of a point in the ry-coordinate system are given. Assuming that the XY-axes are…

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Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2), the robot turns 90°…

A: We have to find the y-coordinate.

Q: 7. What is the image of the point (-3, 14) after a counterclockwise 90" rotation?

A: We have to find out

Q: What is the image of the point (-6,4) after a rotation of 180° counterclockwise about the origin?

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Q: A line I through the point (5,3, -6) has direction cosines and Find the vector and parametric…

A: In this question, the concept of the vector equation of a line is applied. The vector equation of a…

Q: What is the image of the point (3, -4) after a rotation of 180 counterclockwise about the orgin

A: When rotated by 180 degree counterclockwise (x,y)->(-x,-y)

Q: A line, passing through point (6, 3, 2) and is perpendicular to the xy-plane. Find a point on this…

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Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

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 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 are the projections of the point (6, –3, 5) on the coordinate planes? On the xy-plane: ( On the…

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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: What is the image of the point (-7,-3) after a rotation of 90 counterclockwise about the origin?

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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 is the image of the point (6,-3) after a rotation of 180° counterclockwise about the origin?

A: Our Aim is to tell the image of the point (-6,-3) after a rotation of 180°counterclockwise about the…

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: What 3 dimensional shape is created when this shape is rotated around the axis

A: To find the correct option

Q: What is the 270 degree clockwise rule which transformed the pre-image ordered pairs (5,-8) to it's…

A: Solution  Given image is transformed 270⁰ clockwise Pre image coordinates (x,y)=(5 ,-8) Image…

Q: What is the 180 degree clockwise rule which transformed the pre-image ordered pairs (5,-8) to it's…

A: To find The 180 degree clockwise rule which transformed the pre-image ordered pairs (5,-8) to its…

Q: What is the image of the point (-7,9) after a rotation of 270 counterclockwise about the origin

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Q: If the point (3, 8) was rotated by 180 about the origin its image coordinates would be (1)(-3,8)…

A: When coordinate (h,k) rotated about origin with 180° then new coordinate (-h,-k)

Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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Q: What are the new coordinates for A(-5,4) B(-1,3) and C(-4,1) after rotating 75 degrees…

A: Answer and explanation is given below...