In transformation geometry, translations are indicated in the form of a column vector:
a – b = a + (-b)
The points A, B and C are shown on the following coordinate grid.
Write the vectors and as column vectors.
Start by drawing the three vectors onto the grid.
From A to B, it is 6 to the right and 2 up.
From A to C, it is 7 to the right and 6 down.
From C to B, it is 1 to the left and 8 up.
Using the column vectors from (a), confirm that .
Just perform the subtraction on the column vectors.
Two points, P and Q, are plotted on a grid. Given that find the length of the line segment that joins P and Q.
You can form a right angled triangle by starting at P and then going 8 to the right and 6 down to get to Q.
The length between P and Q is the hypotenuse of this triangle so you can use Pythagoras' theorem.
Length is 10 units