Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
According to the question, the given data for the scalar projection calculation represent the point [tex]P1(x1,y1)[/tex] to the line [tex]ax1+by1+c=0.[/tex]
What is scalar projection?
Scalar projection refers to scalar coordinates in the cartesian coordinates. It is also the length of the vector projection. It is calculated with the help of the dot product with the unit vector direction. It always tells about the magnitude of the projection.
By using scalar projection, calculate the distance from the point [tex]P1[/tex] to the line.
Here,[tex](a, b)[/tex] is perpendicular and the equation can be written as
[tex]by1 = -ax1-c[/tex]
[tex]y1 = -\frac{a}{b}x1-c[/tex]
For this the slope of the given equation can be written as: [tex]-\frac{a}{b}[/tex]
And the distance is : [tex]d = \frac{|ax1+by1+c|}{\sqrt{a2+b2} }[/tex].
Therefore, the calculated distance for the given equation is:[tex]d = \frac{|ax1+by1+c|}{\sqrt{a2+b2} }[/tex]
To learn more about the scalar projection from the given link:
https://brainly.com/question/14411896
#SPJ4
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.