Vector Magnitude Homework: Room Dimensions & Displacement

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To find the magnitude of the fly's displacement in a room with dimensions 2.75 m (height), 3.80 m (width), and 4.00 m (length), the appropriate approach involves using the three-dimensional displacement formula. The displacement can be calculated using the equation A^2 = Ax^2 + Ay^2 + Az^2, where Ax, Ay, and Az represent the dimensions of the room. The user is uncertain about how to incorporate the third dimension (Az) into the calculation. To solve for the magnitude of displacement, all three dimensions must be squared and summed before taking the square root. The solution requires clarity on how to apply the formula correctly with the given dimensions.
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Homework Statement



A room has dimensions 2.75 m (height) multiplied by 3.80 (width) m multiplied by 4.00 (length) m. A fly starting at one corner flies around, ending up at the diagonally opposite corner.
(a) What is the magnitude of its displacement?

Homework Equations



A^2=Ax^2+Ay^2

The Attempt at a Solution



the equation only has two unknowns while the question has three, were should i start.
 
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What about Az?
 
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