Question

find the length of the vector v=[1 2 3]​

Answer 1

l of v=3................................................

Answer 2

The length of the vector is $\|\vec{v}\|=\sqrt{14}$

Step-by-step explanation:

Given:

The given vector is $v=[1 2 3]$

To find: The lenth of the given vector

Formula used:

For some vector, $\vec{v} \in \mathbb{R}^{n}$, such that

$\vec{v} =\left\langle x_{1}, \ldots, x_{n}\right\rangle$

Where ${R}$ is the real number

The magnitude of $\vec{v}$ is given by

$\|\vec{v}\|=\sqrt{\left(x_{1}\right)^{2}+\cdots+\left(x_{n}\right)^{2}}$

Solution:

Given that

$v=[1 2 3]$

substitute in the equation, we get

$\|\vec{v}\|=\sqrt{\left(1)^{2}+(2)^{2} +(3)^{2}}$

Length of the vector

$\|\vec{v}\|=\sqrt{14}$