vectors qn (1 Viewer)

Masaken

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(i) Find the projection of y = 3i + j onto v = (1,2)
(ii) Hence, determine the shortest distance from the point (3,1) on to the line y = 2x.


Can someone please explain to me why the answer to part (i) is not (1,2)? Am I just plugging the wrong things into the formula? The worked solutions is shown below. Wouldn't the square root be cancelled out because the magnitude is squared in the projection formula? And how would you go about doing part (ii)? I don't get the thinking process taking place in the second part, thanks in advance
1666610636442.png
 

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