11. Determine whether each of the following statements is true or false. If a statement is true, prove it. If it is false, give a counterexample. A rotation of a degrees in the counterclockhrise direction about the origin followed by a rotation of 3 degrees in the counterclochviİse direction about the origin is a rotation of a +3 degrees in the counterclockwise direction about the origin.

Q: Which of the following statements correctly explains how to perform a rotation, then a reflection of…

A: The rotation of a figure is done by rotating/turning the figure clockwise by the specified number of…

Q: QR is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to QR ?…

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Q: 21° 57⁰ E +y 38° C C = 82 m/s D = 62 m/s E = 41 m/s Figure 3-31 Question 3-34. +x

A: Vectors are quantities with both magnitude and direction. Here we are given three velocity vectors…

Q: 8. Which of the points -2i,3 - i and 4 + i is farthest from the origin.

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Q: The point M is (2,5) and the point N is (-3,-1). The line segment MN is transformed to the line…

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Q: Find the midpoint between the points (3+7i) and (-1+21i). Your answer will be an ordered pair. Enter…

A: Let us consider two  points x1,y1 and (x2,y2)  the mid point between two points is given by…

Q: Graph the image of a rectangle KLMN after a rotation 90 degrees counterclockwise around the origin.…

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Q: KLM is a triangle with coordinates (-3, -5), (-4, -3) and (-5, -6), respectively. Determine the…

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Q: à = (5, − 1) and 6 = (-2, –5). Represent a + b using the head to tail method. Use the Vector tool to…

A: The given vectors  and .To find the vector  and sketch the graph of the vector.

Q: Find the direction cosines of v =〈3, 6, −2〉.

A: Given vector is v=3,6,-2. To find the direction cosines of given vector. Solution: We know that if…

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Q: A segment has the following coordinates A(6, 7). B(4. -3). Find the coordinates of the midpoint of…

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Q: Determine whether v = 3i - 5j and w = 6i - 10j are parallel,orthogonal, or neither.

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Q: à = (–3, –5) and b = (1,4). Represent a + b using the parallelogram method. Use the Vector tool to…

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Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Let a = (-2, 0, 5) and b = (-3,- 2, 4). Find the angle between the vectors (in degrees).

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Q: A 40 degree clockwise rotation is the same as a degree rotation counterclockwise. A 210 degree…

A: Given ,  A 40° clockwise rotation . A 210° counterclockwise rotation.

Q: For questions 5 to 8, use the method demonstrated in Worked Example 14.5 to find the equation of the…

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: 3. Name the coordinates of the point F(-4, -9) after a 180° rotation. A. (4, 9) B. (-4, 9) C. (-9,…

A: After 180 ° rotation :  A ( x , y ) becomes A ' ( - x , - y ) .

Q: Triangle  QRS  has vertices  Q(−2, 2) ,  R(−3, −4) , and  S(1, −2) .       Write the coordinate…

A: We have to find coordinate notation for a clockwise rotation.