Vector Magnitude Homework: Room Dimensions & Displacement

In summary, vector magnitude is the size or length of a vector, represented by a numerical value. To calculate it, you can use the Pythagorean theorem. Room dimensions refer to the measurements of a room, typically its length, width, and height. Displacement is the distance and direction of an object's final position from its initial position, and can be calculated using the Pythagorean theorem and the direction of the displacement.
  • #1
jpd5184
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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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  • #2
What about Az?
 

What is vector magnitude?

Vector magnitude is the size or length of a vector, represented by a numerical value. It represents the distance from the initial point to the terminal point of a vector.

How do you calculate vector magnitude?

To calculate vector magnitude, you can use the Pythagorean theorem, which states that the square of the magnitude is equal to the sum of the squares of the vector's components. In other words, you square the x and y values of the vector, add them together, and then take the square root of the sum.

What are room dimensions?

Room dimensions refer to the measurements of a room, typically its length, width, and height. These measurements are important for determining the size and shape of a room, as well as for calculating the amount of space available for furniture and other objects.

What is displacement?

Displacement is the distance and direction of an object's final position from its initial position. It is a vector quantity, meaning it has both magnitude and direction. It can be calculated by subtracting the initial position from the final position.

How do you use vector magnitude to calculate displacement?

In order to calculate displacement using vector magnitude, you would first need to determine the initial and final positions of the object in terms of x and y coordinates. Then, you can use the Pythagorean theorem to calculate the magnitude of the displacement vector, and use the direction of the displacement to determine its direction.

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