Question

1)(x+2,3)-(x +7,8); 3)-(v-7,4+x)-(11,6-y); 4) (-2,6+x+y) - (x-y-2,6); 2)-(7,2-y) + (y + 1,6);

Answer 1

1) -5,5
3) -4,2-x
4) 2y
2) -5,6+2y

Answer 2

Let's simplify each of the given expressions:

1. (x+2,3) - (x+7,8)

To subtract two vectors, we subtract their corresponding components:

(x+2 - (x+7), 3 - 8) (x + 2 - x - 7, -5) (-5, -5)

So, (x+2,3) - (x+7,8) simplifies to (-5, -5).

2. (3 - (v-7,4+x)) - (11,6-y)

Following the same principle, we can simplify this expression:

(3 - (v - 7), 4 + x - (11,6 - y)) (3 - v + 7, 4 + x - 11, 6 - (-y)) (10 - v, -7 + x + 6 + y) (10 - v, x + y - 1)

So, (3 - (v-7,4+x)) - (11,6-y) simplifies to (10 - v, x + y - 1).

3. (-2,6+x+y) - (x-y-2,6)

Following the same principle, we can simplify this expression:

(-2 - (x - y - 2), 6 + x + y - 6) (-2 - x + y + 2, x + y) (y - x, x + y)

So, (-2,6+x+y) - (x-y-2,6) simplifies to (y - x, x + y).

4. (7,2 - y) + (y + 1,6)

Following the same principle, we can simplify this expression:

(7 + (y + 1), 2 - y + 6) (7 + y + 1, 2 - y + 6) (8 + y, 8 - y)

So, (7,2 - y) + (y + 1,6) simplifies to (8 + y, 8 - y).

I hope this clarifies the simplification of the given expressions.