Question

point a has coordinates (-4,2) point a is translated to the point with coordinates (-1,-3) find as a column vector the vector that describes this translation

Answer 1

To solve it, you need to use vectors. Let me show you how.

To find the vector that describes the translation, we need to subtract the coordinates of point A from the coordinates of the translated point. Let the vector be v. Then we have:

v = (-1, -3) - (-4, 2)

v = (-1 + 4, -3 - 2)

v = (3, -5)

To write this vector as a column vector, we write it vertically with square brackets. So we have:

v = [3

-5]

Therefore, the vector that describes the translation is [3

-5].

Explanation: