. 2. What is the rotation matrix for an object rotation ofaround the X axis, and followed by a rotation ofare counterclockwise.3. Consider a vector (7.3.2) which is rotated around the Z axis by 900, and then rotatedaround the Y axis by 90° and finally translated by (4, -3,7). Find the new coordinatesof the vector. All rotations are clockwise.4. Show that following identities are true.RR = R270 Ro Ro Riso = Riso R909090¹180XXXRiso R0 R18R70, R80R70 = R180R30.around the X axis, followed byaround the Z axis. All rotations=

Rotation matrix for rotations around z-axis.

2. What is the rotation matrix for an object rotation of around the X axis, and followed by a rotation of are counterclockwise. 3. Consider a vector (7.3.2) which is rotated around the Z axis by 900, and then rotated around the Y axis by 90º and finally translated by (4, -3,7). Find the new coordinates of the vector. All rotations are clockwise. 4. Show that following identities are true. ¹90 180 RR = R270R RRiso = Ro R RoRo = R7R 180 DX Riso R=R8R0 18090 2701 180 180 around the X axis, followed by around the Z axis. All rotations X

2. What is the rotation matrix for an object rotation of around the X axis, and followed by a rotation of are counterclockwise. 3. Consider a vector (7.3.2) which is rotated around the Z axis by 900, and then rotated around the Y axis by 90º and finally translated by (4, -3,7). Find the new coordinates of the vector. All rotations are clockwise. 4. Show that following identities are true. ¹90 180 RR = R270R RRiso = Ro R RoRo = R7R 180 DX Riso R=R8R0 18090 2701 180 180 around the X axis, followed by around the Z axis. All rotations X

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.4: Linear Independence And Linear Dependence

Problem 8P

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