Q 33. - Calculus

Question

Find the norm of the vector. $v = \left(3, -4\right)$

Step-by-Step Solution

Answer

The norm of the vector  $v = \left(3, -4\right)$is $5$.

Step 1. Given information .

We have given vector $v = \left(3, -4\right)$

Step 2. Find the norm of the vector.

$$\begin{gathered} ||v||=\sqrt{a^2+b^2} \\ =\sqrt{3^2+{\left(-4\right)}^2} \\ =\sqrt{9+16} \\ =\sqrt{25} \\ =5 \end{gathered}$$