Question

What is unit vector ? why we find it in every question

Answer 1

If you think of a vector in \(\mathbb{R}\) then you can think of it as a arrow \(\huge \rightarrow\).

Now a vector has a length and direction, a unit vector just takes the vector and makes it length of \(1\).

Answer 2

but why we find unit vector?

Answer 3

say we have a vector <2,3>

Then we want to use the same direction, but not the same size. Say we want it to have a magnitude of 4

Well what do you multiply that vector by to make it length 4?

First make it a unit vector by dividing the components by the magnitude, then multiply each component by 4.

BAM! It now has length 4.

Answer 4

ok thank you

Answer 5

np