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.

(a) HK
(b) GL
(c)JH
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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`

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`