Math / Geometry

QuestionVector $\mathbf{v}$ has initial point $P(11,12)$ and terminal point $Q(19,-1)$ . Vector $\mathbf{w}$ has initial point $R(7,12)$ and terminal point $S(-1,-1)$ .
Part: $0 / 3$ $\square$
Part 1 of 3 (a) Find the magnitude of $\mathbf{v}$ . Give the exact answer in simplest form. $\|\mathbf{v}\|=$ $\square$ $\sqrt{\square}$

Studdy Solution
Simplify the expression to find the exact magnitude:
$\|\mathbf{v}\| = \sqrt{8^2 + (-13)^2}$
$\|\mathbf{v}\| = \sqrt{64 + 169}$
$\|\mathbf{v}\| = \sqrt{233}$
The magnitude of vector $\mathbf{v}$ is:
$\boxed{\sqrt{233}}$

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