Write transformation matrices in order to rotate the point (1,1) on the xy plane by 45 degree counterclockwise with the point (4,5) as the center of rotation. Calculate the coordinates of the rotated point by applying the transformation matrices obtained to the point (1,1).

Q: In your Cartesian plane find and connect the following points:

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Q: If R is the rotation matrix, then RRT is a

A: The inverse of a rotation matrix is its transpose, which is also a rotation matrix: The product of…

Q: F-150 N Ti 30 - 200 N 35 0.03 m 20 In the xy coordinate system 1.7 points - Calculate the magnitude…

A: As per bartleby guidelines we are  allowed to solve only 1st 3 subparts if multiple subparts are…

Q: 6) For the system shown, assume x-y-z is the inertial frame. If the bar first twists around A about…

A: The rotation about z axis is The rotation about x axis is .

Q: 3

A: Given Data : F1= 50 N, Direction 120° F2=30 N, Direction 30°

Q: Draw the three projections of the following figure using AutoCAD software and send the solution in…

A: Orthographic Projection It is a form of presenting a three-dimensional object into Two dimensional.…

Q: Find the magnitude and direction of resultant R when A=110N and B=55N, (-2,41 Graphical Solution 1.…

A: Given A=110NB=55NθB=15o

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: To eliminate. The xy- term. Given: The quadratic equation is 8x2-14xy+8y2-42=0.

Q: Find the equation of the circle passing through the points(1,2)having its center(4,6)

A: Solution     The equation of the circle             x-a2+y-b2=r2

Q: Write force F2 in vector form

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Q: F = 650 N F = 750 N 00 45° F = 900 N F = 50 N 3 F3 = 30 N 15° F2 = 80 N

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Q: If the magnitude of the vector is 10m, find (i) The vector format for the shown vector. (ii) The…

A: If the magnitude of the vector is 10m, find (i) The vector format for the shown vector. (ii) The…

Q: If vector A =yi-xj+zk the curial of vector A is -2k O 2k -2j O -21 O

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Q: In your Cartesian plane find and connect the following points: (3,0) (0,6) (-4,-3)

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Q: Q2: Determine the magnitude and direction for the resultant for ONE of the showing systems below…

A: F1=500 N ,θ1=45°F2=500 NF3=700 N, θ3=30°F4=150 NF5=300 N

Q: For the Scalar projection of F along r = F * Ur How did you get the -41.924 + 24.0327

A: We have following data:Force vector is, Unit vector in the direction of vector r is,

Q: Find the resultant of the following vectors: d, = 180 km E30° N d2 = 120 km W45°N Use the following…

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Q: If the coordinate frame 0₁x₁Y₁Z₁ is obtained from the coordinate frame ooxoYoZo by a rotation of /2…

A: Given:The initial frame is represented by The final frame is represented by The first rotation about…

Q: Position of a particle in a rectangular- co-ordinate system is (5, 2, 3). Then its position vector…

A: Given data: Coordinates=5,2,3 Need to determine the position vector.

Q: 3 6 4 2 Imaginary Axis -10 -8 -6 -4 -2 0 Real Axis

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Q: Write the transformation matrices with its coordinates that you needed to transform figure (5) to…

A: Co-ordinates of the figure are given as:

Q: Assume that the robot is at the position (1, -2, 4), and her right, up, and forward vectors…

A: The position of the robot, The point in the world space,

Q: Eight points in the cartesian system are as follow: A(-9, 3), B(-5, 6), C(2, 2), D(5, 6), E(-2, -5),…

A: Draw position vectors:

Q: Find the vector format for vector AB. Find the coordinate angles for AB. 5 ft B7 ft· 10 ft 30⁰ 70°

A: Coordinates of the point  A=(- 10cos70sin30 , 10cos70cos30 , 10sin70) B=(5 , -7 , 0) We need to find…

Q: e. A force acts along a line connecting point 1 ( -14,58,71 ) ft. and point 243,-13,34 ) ft. What is…

A: Step 1: Step 2: Step 3: Step 4:

Q: 7(d) Write the 4X4 rotational transformation matrix when the rotation is around Z-axis and an angle…

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Q: BF = F,i+ Fj+ F.k a

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Q: In the figure, r is directed along line AB. Given the position of points A and B, 4 m 2 m -4 m Im

A: As per bartleby expert guidelines we are supposed to answer only the first three parts of a given…

Q: For the coordinate system shown, determine the DIAGONAL of the transformation matrix [Q] for the new…

A: Vector is a physical quantity that has magnitude and direction both. Scalar is a physical quantity…

Q: iven A and b to the​ right, write the augmented matrix for the linear system that corresponds to the…

A: GivenAx=bA=13-3-3-22522b=-714-6

Q: The position of point P can be represented in the curve by

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Q: Copy of Based on the kinematic system below If we rotate (A-B) 90 degrees counter-clockwise, and…

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Q: 6- if A=L nd B is 3xs unirt matrix A-[ Pind AB)"

A: Given: A=12-13-134-24B=100010001

Q: 5) A = 2i+3j+5k and B = 3i+6k, Determine the unit vector of (AXB).

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Q: Calculate the size of projection of vector 1 onto vec Calculate the size of projection of vector 2…

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Q: In the figure, we apply a transformation matrix to box B A to obtain box B. (a) Derive the 3 x 3…

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Q: n the cartesian plane , we have 40 units for vertical forces and 50 units for horizontal forces.what…

A: Given Data : 40 units for vertical forces 50 units for horizontal forces

Q: Determine the rotation matrix for the following rotation of 900 about X  axis rotation of 900 about…

A: To find :  rotation matrix for the following 1. rotation of 900 about X  axis 2. rotation of 900…

Q: Determine the rotation matrix for the following rotation of 450 about X axis rotation of 45º about Y…

A: Formula for rotation matrix with respect to each axis is written and calculated against the…

Q: Use the matrix relations to fit a straight line to the data 01234 89431

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