Finding the Direction of a Vector: Unit Vector Explained

Click For Summary
A vector consists of both direction and magnitude, and a unit vector is derived by dividing the vector by its length, |v|. This process results in a vector that retains the original direction but has a magnitude of one. Therefore, the unit vector effectively represents the direction of the original vector. The direction remains unchanged when calculating the unit vector. Understanding this concept is crucial for applications in physics and engineering.
myusernameis
Messages
56
Reaction score
0
Ok, so a vector is direction and magnitude, and by finding the unit vector we divide the vector by the length of that vector, |v|

does that mean we get the direction of the vector?

tanks a bunch
 
Physics news on Phys.org
myusernameis said:
Ok, so a vector is direction and magnitude, and by finding the unit vector we divide the vector by the length of that vector, |v|

does that mean we get the direction of the vector?

tanks a bunch

The direction is the same as that of vector \vec{v} under consideration.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 23 ·
Replies
23
Views
2K