Question

What is the components of (3i+4j) along (i+j) is?

Answer 1

Let A = 3i + 4j
      B =  i = j

Therefore, by using formula for component of one vector along another,

$(A_{B})^{-\ \textgreater \ }$ = [tex][A^{-\ \textgreater \ }.B^{-\ \textgreater \ }/|B|][B^{-\ \textgreater \ }] [/tex]
                                                         =[(3)(1) + (4)(1)/$\sqrt{3^{2} + 4^{2}}$][i + j]
                                                         =(7/5)i + j