Find the terminal point Q of a nonzero vector u = −−−→ P Q u=PQ→ with initial point P(−1, 3, −5) and such that a. u has the same direction as v = (6, 7, −3). b. u is oppositely directed to v = (6, 7, −3).

a

the terminal point Q of a nonzero vector u is

b

  Hence the terminal point Q of a nonzero vector u is

Explanation:

From the question we are given that

           The initial point is  

So the vector u can be expressed like this

From the question we are told that u has the same direction as v = (6,7,-3)

         Hence

  =>

=>  

=>  

Hence the terminal point Q of a nonzero vector u is

 In the case that u is moving in the opposite direction of

         This means that

       =>

    =>  

  =>  

      Hence the terminal point Q of a nonzero vector u is

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