(a) Find the length of the projection of w onto v given that w = (4,7) and v = (1,1).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Proj,u =|u/coso-
1=\u[coso
u: V
V
Scal, u = |u|cose =
u: V
y. V
(a) Find the length of the projection of w onto v given that w =
(4, 7) and v = (1, 1).
(b) A given force F = i+j- k (in newtons) moves an object from point
(4, 7,2) to point (8, 3, 6) (in meters). Determine the work done by the force in moving
the object.
Transcribed Image Text:Proj,u =|u/coso- 1=\u[coso u: V V Scal, u = |u|cose = u: V y. V (a) Find the length of the projection of w onto v given that w = (4, 7) and v = (1, 1). (b) A given force F = i+j- k (in newtons) moves an object from point (4, 7,2) to point (8, 3, 6) (in meters). Determine the work done by the force in moving the object.
Expert Solution
Step 1

Given: w=4i+7j, v=i+j

we know that projectionp of w onto v is given by

p=w.vv2v

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Projection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,