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

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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) About Me  (Show Source):
You can put this solution on YOUR website!


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

          OP     u夫
cos(q) = 覧覧 = 覧覧覧
          ∥u∥   ∥u∥∥v∥

 OP     u夫
覧覧 = 覧覧覧
 ∥u∥   ∥u∥∥v∥

Multiply both sides by ∥u∥ and get:

     u∙v
OP = 覧覧  = 
     ∥v∥

%28++%28%283%29%287%29%2B%285%29%282%29%29%2Fsqrt%287%5E2%2B2%5E2%29%29%22%22=%22%2231%2Fsqrt%2853%29%22%22=%22%22

4.258177482, approximately

Edwin