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-if the lizard chooses the shortest path along the walls, floor or ceiling what is the length of its path?

I do not know where to start please help.

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- Thread starter Sneakatone
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- #1

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-if the lizard chooses the shortest path along the walls, floor or ceiling what is the length of its path?

I do not know where to start please help.

- #2

berkeman

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-if the lizard chooses the shortest path along the walls, floor or ceiling what is the length of its path?

I do not know where to start please help.

Welcome to the PF.

The first part of the question is pretty basic. It says that the lizard crawls a total of 4m in the x direction, 5m in the y direction, and 3m in the z direction. Independent of the path it took there is a displacement vector from the start to the end. How do you write that displacement vector in terms of unit vectors?

- #3

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For the second part, imagine taking a paper replica of the room, and cutting it along some edges so that it can be laid out flat. There are several ways top do this, so there's more than one possibility for where the opposite corner ends up in the resulting flat grid, but the lizard's optimal path will be a straight line now. You have to find one that stays on the laid out walls.

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- #5

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never mind its asking for the equation which is, 4i+5j+3k.

n the second part ended up to be 8.6 m.

n the second part ended up to be 8.6 m.

- #6

berkeman

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For the second part, imagine taking a paper replica of the room, and cutting it along some edges so that it can be laid out flat. There are several ways top do this, so there's more than one possibility for where the opposite corner ends up in the resulting flat grid, but the lizard's optimal path will be a straight line now. You have to find one that stays on the laid out walls.

Great hint, haruspex. I was having trouble figuring out the second part of the question until I saw your hint.

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