Finding magnitude of displacement vector

The magnitude of the net displacement vector is 3.53 meters. In summary, the net displacement vector has a magnitude of 3.53 meters.
  • #1
ilovedeathcab
11
0
[solved] finding magnitude of displacement vector

Silas crawls 1.5 meters due East then crawls 3.2 meters due South. Find the magnitude of the net displacement vector. Make sure you do the following in your answer:

* include correct units
* make your answer correct within 0.02
* make your answer positive (because magnitudes are always considered positive)
* put your answer in a form like one of these:
o #.## m
o #.## meters

The question is worth one point, and there is a half point penalty for each incorrect submission.
-----------------------------------------------------------------------------------------
i got a resultant vector of 3.534m but that was using pythagorean theorem (1.5squared+3.2squared)= 12.49---> square root 12.49=3.53 but i don't know what it means by magnitude...am i doing it right?
 
Last edited:
Physics news on Phys.org
  • #2
Magnitude just means size. It is exactly what you calculated.
 
  • #3


Yes, you are correct in using the Pythagorean theorem to find the magnitude of the displacement vector. The magnitude of a vector is its size or length, and it is always positive. In this case, the magnitude of the displacement vector would be 3.53 meters, as you have calculated. Remember to include the correct units in your answer, so it would be written as 3.53 meters. Good job!
 

What is a displacement vector?

A displacement vector is a mathematical representation of the change in position of an object. It includes both a magnitude (length) and a direction.

How do you find the magnitude of a displacement vector?

The magnitude of a displacement vector can be found using the Pythagorean theorem, where the square of the vector's magnitude is equal to the sum of the squares of its components in each dimension. Alternatively, it can also be found using the distance formula, which takes into account the vector's direction.

Why is it important to find the magnitude of a displacement vector?

The magnitude of a displacement vector is important because it tells us how far an object has moved from its original position. This information is crucial in understanding an object's motion and velocity.

What units are used to measure the magnitude of a displacement vector?

The magnitude of a displacement vector is typically measured in units of length, such as meters or kilometers, depending on the context and scale of the displacement.

Can the magnitude of a displacement vector be negative?

No, the magnitude of a displacement vector cannot be negative. It is always a positive value that represents the distance traveled by an object in a specific direction.

Similar threads

Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
19
Views
7K
  • Introductory Physics Homework Help
Replies
5
Views
981
  • Introductory Physics Homework Help
Replies
5
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
620
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
771
  • Introductory Physics Homework Help
Replies
13
Views
5K
Back
Top