I'm wondering that why people doesn't care about vector's location. but, when we add the vectors, we move two or one vector to unite the vector's start point. and this mean location is important. but, when we learn very first of vector, we learn the vector doesn't matter where it is. in this point, I'm so confused because I can't find the reason that why vector's location doesn't matter. so i want to ask you - why the vector's location is not important?

Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
$$\left[\begin{array}{cccc}1& 3& 0& -4\\ 2& 6& 0& -8\end{array}\right]$$

Find, correct to the nearest degree, the three angles of the triangle with the given vertices
A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)

Whether f is a function from Z to R if 
a) ${\displaystyle f\left(n\right)=\pm n}$. 
b) ${\displaystyle f\left(n\right)=\sqrt{n^2+1}}$. 
c) ${\displaystyle f\left(n\right)=\frac{1}{n^2-4}}$.

How to write the expression $6^{\frac{3}{2}}$ in radical form?

How to evaluate ${\displaystyle \sin \left(\frac{-5\pi }{4}\right)}$?

What is the derivative of ${\cot }^{2}x$ ?

How to verify the identity: $\frac{\cos \left(x\right)-\cos \left(y\right)}{\sin \left(x\right)+\sin \left(y\right)}+\frac{\sin \left(x\right)-\sin \left(y\right)}{\cos \left(x\right)+\cos \left(y\right)}=0$?

Find $\tan \left(22.5^{\circ }\right)$ using the half-angle formula.

How to find the exact values of $\cos 22.5°$ using the half-angle formula?

How to express the complex number in trigonometric form: 5-5i?

The solution set of $\tan <!--\; \; -->\mathrm{\theta <!--\; \theta \; -->}=3\cot <!--\; \; -->\mathrm{\theta <!--\; \theta \; -->}$ is

How to find the angle between the vector and $x-$axis?

Find the probability of getting 5 Mondays in the month of february in a leap year.

How to find the inflection points for the given function ${\displaystyle f\left(x\right)=x^3-3x^2+6x}$?

How do I find the value of sec(3pi/4)?