SOLUTION: a. Calculate the scalar projection of (3,5) onto (7,2). (show all your work) b. Interpret this projection graphically

Algebra.Com
Question 1037822: a. Calculate the scalar projection of (3,5) onto (7,2). (show all your work)
b. Interpret this projection graphically

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


You are looking for the length of the line segment OP,

          OP     u•v
cos(q) = ———— = ——————
          ∥u∥   ∥u∥∥v∥

 OP     u•v
———— = ——————
 ∥u∥   ∥u∥∥v∥

Multiply both sides by ∥u∥ and get:

     u∙v
OP = ————  = 
     ∥v

, approximately

Edwin


RELATED QUESTIONS

In ∆ ABC , a = 7 , b= 11 , c = 8 .Calculate the projection of AC on AB. (answered by KMST)
Find the vector projection of u=(7,3) onto v=(3,-3) and graph... (answered by htmentor)
Can someone please help me with this i really don't know how to do vectors, i have tried... (answered by lynnlo,Alan3354)
Please find the projection of u = <6, 7> onto v = <-5, -1>. Put {{{ U }}} as the sum of... (answered by Fombitz)
u: <-1,7> v: <6,4> What is the projection of u onto v? A.) <33/13, 22/13> B.) <11/26, (answered by Edwin McCravy)
Ok i'm not so worried about the sketches I just want confirmation about mainly part c and (answered by venugopalramana)
I am trying to solve some challenge problems regarding perpendicular distances.. and I... (answered by khwang)
If I have the two vectors u = <0,5,3> and v = <0,-2,-5>, how can I find the projection of (answered by Edwin McCravy)
Find the vector projection of u onto v. Then write u as the sum of two orthogonal​... (answered by MathLover1)