QUESTION 1 Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and [0.866, 0, 0.5], respectively. Here 0.866 is actually an approximation to sqrt(3)/2. Choose the correct answer: O The right, up, and forward vectors form an orthonormal basis. O The right, up, and forward vectors do not even form a basis O At least one of the the right, up, or forward vectors have norm greater than 1. O The problem with this basis is that the right vector is not perpendicular to the forward vector. QUESTION 2 Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and [0.866, 0, 0.5], respectively. Here 0.866 is actually an approximation to sqrt(3)/2. The following points are expressed in object space. Calculate the coordinates for these points in upright space. a) (2, 1, 0) O (-0.866, 2, -0.5) O (1, 1, -1.732) O (4, 3, 5.268) O(-2.134, 4, 6.5)
QUESTION 1 Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and [0.866, 0, 0.5], respectively. Here 0.866 is actually an approximation to sqrt(3)/2. Choose the correct answer: O The right, up, and forward vectors form an orthonormal basis. O The right, up, and forward vectors do not even form a basis O At least one of the the right, up, or forward vectors have norm greater than 1. O The problem with this basis is that the right vector is not perpendicular to the forward vector. QUESTION 2 Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and [0.866, 0, 0.5], respectively. Here 0.866 is actually an approximation to sqrt(3)/2. The following points are expressed in object space. Calculate the coordinates for these points in upright space. a) (2, 1, 0) O (-0.866, 2, -0.5) O (1, 1, -1.732) O (4, 3, 5.268) O(-2.134, 4, 6.5)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![QUESTION 1
Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and
[0.866, 0, 0.5], respectively.
Here 0.866 is actually an approximation to sqrt(3)/2.
Choose the correct answer:
O The right, up, and forward vectors form an orthonormal basis.
O The right, up, and forward vectors do not even form a basis
O At least one of the the right, up, or forward vectors have norm greater than 1.
O The problem with this basis is that the right vector is not perpendicular to the forward vector.
QUESTION 2
Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and
[0.866, 0, 0.5], respectively.
Here 0.866 is actually an approximation to sqrt(3)/2.
The following points are expressed in object space. Calculate the coordinates for these points in upright space.
a) (2, 1, 0)
O (-0.866, 2, -0.5)
O (1, 1, -1.732)
O (4, 3, 5.268)
O (-2.134, 4, 6.5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4a4a80f-e3e4-4182-8628-1279fb71bbc9%2F24c783c2-3731-42b3-a809-b045deb10b67%2Frf2lygd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 1
Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and
[0.866, 0, 0.5], respectively.
Here 0.866 is actually an approximation to sqrt(3)/2.
Choose the correct answer:
O The right, up, and forward vectors form an orthonormal basis.
O The right, up, and forward vectors do not even form a basis
O At least one of the the right, up, or forward vectors have norm greater than 1.
O The problem with this basis is that the right vector is not perpendicular to the forward vector.
QUESTION 2
Assume that the robot is at the position (3,2, 7), and her right, up, and forward vectors expressed in upright space are [0.5, 0, -0.866], [0,1, 0], and
[0.866, 0, 0.5], respectively.
Here 0.866 is actually an approximation to sqrt(3)/2.
The following points are expressed in object space. Calculate the coordinates for these points in upright space.
a) (2, 1, 0)
O (-0.866, 2, -0.5)
O (1, 1, -1.732)
O (4, 3, 5.268)
O (-2.134, 4, 6.5)
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