Find the component form and magnitude of the vector $\mathbf{v}$.
component form
\[
\mathbf{v}=
\]
magnitude
\[
\|\mathbf{v}\|=
\]
v point is on (2,5)
Answer
Final Answer: The component form of the vector \(\mathbf{v}\) is \(\boxed{(2, 5)}\) and its magnitude is \(\boxed{5.385164807134504}\).
Step 1 ：The component form of a vector is simply the coordinates of the point it ends at, assuming it starts at the origin. In this case, the vector \(\mathbf{v}\) ends at the point (2,5), so its component form is simply (2,5).
Step 2 ：The magnitude of a vector is the length of the vector, which can be calculated using the Pythagorean theorem. In this case, the magnitude of \(\mathbf{v}\) is \(\sqrt{2^2 + 5^2}\).
Step 3 ：Final Answer: The component form of the vector \(\mathbf{v}\) is \(\boxed{(2, 5)}\) and its magnitude is \(\boxed{5.385164807134504}\).
