projection of vectors

[friel49650]

I have 2 questions that I am really struggling with

1. for the following vectors
   a ?[3,?2,7,?3,13,?4,0] and b ?[?9,15,0,?1,?7,2,9]
   find:
   
   1. (i) the projection of a onto b
      (ii) the projection of b onto a
      
      
      
      

 

[Deleted member 4993]

I have 2 questions that I am really struggling with

2. for the following vectors
   a ?[3,?2,7,?3,13,?4,0] and b ?[?9,15,0,?1,?7,2,9]
   find:
   2. (i) the projection of a onto b
      (ii) the projection of b onto a

I cannot read your post! Please correct and repost. In addition, please include your thoughts?

Please share your work with us ...even if you know it is wrong

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[Ishuda]

I have 2 questions that I am really struggling with

1. for the following vectors
   a ?[3,?2,7,?3,13,?4,0] and b ?[?9,15,0,?1,?7,2,9]
   find:
   1. (i) the projection of a onto b
      (ii) the projection of b onto a

The projection of a onto b is defined as
\(\displaystyle p_{\overrightarrow{\mathbf{a}}}\, \overrightarrow{\mathbf{b}}\, =\, \frac{\overrightarrow{\mathbf{a}} \bullet \overrightarrow{\mathbf{b}}}{\| \overrightarrow{\mathbf{a}} \|^2}\, \overrightarrow{\mathbf{a}}\)
where \(\displaystyle \bullet\) indicates the dot product.