Question

Write the normal form of the equation of the line passing through (1, 2) and with a normal vector n = 3 - 41. Write its general form. + Drag and drop your images or click to browse...

Answer 1

Answer:

general form of  is 3x - 4y = -5

Step-by-step explanation:

Equation pass through given point P (1,2)

And normal vector is given as  $\begin{bmatrix}1\\ 2\end{bmatrix}$

nX = np

$\begin{bmatrix}3\\ -4\end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}  =   \begin{bmatrix}3\\ -4\end{bmatrix}  \begin{bmatrix}1\\ 2\end{bmatrix}$

$\begin{bmatrix}3\\ -4\end{bmatrix}  \begin{bmatrix}x\\ y\end{bmatrix} = -5$

therefore general form is written as ax + by = k

3x - 4y = -5