1. Take the down escalator on the right.
2. Take the up escalator on the left.
3. Use the escalator to go to the third floor.
4. Use the elevator to the third floor.
5. Take the elevator to the third floor.
6. Take the stairs to go to the first floor.
7. Use the stairs to the first floor.
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Are they all grammatical? Can we use 'take' and 'use'?
Yes. All of those are correct.
Yes, all of the sentences you provided are grammatical. Both "take" and "use" can be used interchangeably in these sentences to indicate the act of using either an escalator, elevator, or stairs to move between floors. However, there can be slight differences in meaning between the two verbs.
"Take" typically implies physically stepping onto or entering a mode of transportation, such as an escalator or elevator. For example, in sentences 1, 2, 5, and 6, using "take" suggests actively stepping onto or entering the mentioned transportation method to move between floors.
"Use," on the other hand, has a broader implication and can refer to simply utilizing or making use of a particular feature or facility. In sentences 3, 4, and 7, using "use" implies using the mentioned transportation or means of access to reach a specific floor.
Overall, both "take" and "use" are suitable verbs to describe the action of utilizing escalators, elevators, or stairs to move between floors. The choice between the two can depend on the intended emphasis or context of the sentence.