Question

In the rectangular prism, express each of the following in terms of s, t, and u. Give an explanation for each of your answers.

Answer 1

Complete Question

The complete question is shown on the first  and second uploaded image

Answer:

a

  $\= HK = \= t + \= u$

b

  $\= GL = \= s - \= t$

c

$\= JH = \= u + \= s$

Step-by-step explanation:

Now looking at the diagram

Following the direction of the unit vectors $\= u , \= s, \= t$

     $\= {HK} = \= {KI} + \= KL$

=>   $\= HK = \= t + \= u$

And  

    $\= GL = \= GH + \= GF$  jjj

=>   $\= GL = \= s - \= t$

Also

    $\= JH = \= JG + \= JI$

=>  $\= JH = \= u + \= s$