33.0k views
0 votes
A point travels East 3 spaces and South 8 spaces.Write the description in algebraic terms.

User Yen NQ
by
8.3k points

1 Answer

4 votes

Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation


P'(x,y) = (x+3, y-8)

Explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:


P'(x,y) =P(x,y) +T(x,y) (1)

Where:


P(x,y) - Initial position of the traveller, dimensionless.


T(x,y) - Translation vector, dimensionless.


P'(x,y) - Final position of the traveller, dimensionless.

Let suppose that
y > 0 represents the number of steps to the north, and
x> 0, the number of steps to the east.

If we know that
P(x,y) =(x,y) and
T(x,y) = (3, -8), then the resulting equation is:


P'(x,y) = (x,y) +(3,-8)


P'(x,y) = (x+3, y-8)

User Matthias Wandel
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories