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

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

Advanced Engineering Mathematics
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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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.→v→v→2v→

 

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