2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the point Q* in the plane that is closest to the given point Q and the distance between these points. To check your work, verify that the found point Q* is in fact in the plane. 3. Given v<-5, 1, 3 > and a = <2, 4, -1>, velocity and acceleration vectors. a. Find aτT, the tangential acceleration. Find the exact component values, not decimal approximations! атт a aNN 3 continued. Given v = <-5, 1, 3> and a = <2, 4, -1>, velocity and acceleration vectors. b. Find aNN, the normal acceleration vector. Verify that the normal acceleration vector is orthogonal to the tangential acceleration. c. The curve of a position function can be approximated with an arc of a circle of radius R. If ||v|| Find R, precise to 2 decimal places. v, then R = aN 2%

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
Question

I need help on question 3?

2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the
point Q* in the plane that is closest to the given point Q and the distance between these points. To check your work, verify
that the found point Q* is in fact in the plane.
3. Given v<-5, 1, 3 > and a = <2, 4, -1>, velocity and acceleration vectors.
a. Find aτT, the tangential acceleration. Find the exact component values, not decimal approximations!
атт
a
aNN
Transcribed Image Text:2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the point Q* in the plane that is closest to the given point Q and the distance between these points. To check your work, verify that the found point Q* is in fact in the plane. 3. Given v<-5, 1, 3 > and a = <2, 4, -1>, velocity and acceleration vectors. a. Find aτT, the tangential acceleration. Find the exact component values, not decimal approximations! атт a aNN
3 continued. Given v = <-5, 1, 3> and a = <2, 4, -1>, velocity and acceleration vectors.
b. Find aNN, the normal acceleration vector. Verify that the normal acceleration vector is orthogonal to the tangential
acceleration.
c. The curve of a position function can be approximated with an arc of a circle of radius R. If ||v||
Find R, precise to 2 decimal places.
v, then R =
aN
2%
Transcribed Image Text:3 continued. Given v = <-5, 1, 3> and a = <2, 4, -1>, velocity and acceleration vectors. b. Find aNN, the normal acceleration vector. Verify that the normal acceleration vector is orthogonal to the tangential acceleration. c. The curve of a position function can be approximated with an arc of a circle of radius R. If ||v|| Find R, precise to 2 decimal places. v, then R = aN 2%
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning