finding a value of a scalar & orthogonality to another vector

Jordi

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Aug 19, 2019
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could someone please check if i've done this correctly? Thanks!
 

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Looks right until near the end, assuming I've correctly guessed what the problem is! You didn't say what x, y, and z are (I initially guessed it was a notation for unit basis vectors i, j, and k, but eventually I realized they were given to you); and your notation is not good, using run-on equal signs and omitting parentheses.

But now look at your very last step. Why did you divide by -6? And does the resulting equation really say c = -44/6?

And you can check it yourself. Plug your value of c into the dot product equation, and confirm that you get 0. It won't work ...
 
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