Algebra Examples

(- 4, 8)

$(- 4, 8)$ ,

(- 2, 5)

$(- 2, 5)$

Step 1

To find the position vector, subtract the initial point vector

P

$P$ from the terminal point vector

Q

$Q$ .

Q - P = (- 2 i + 5 j) - (- 4 i + 8 j)

$Q - P = (- 2 i + 5 j) - (- 4 i + 8 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

- 2 i + 5 j - (- 4 i) - (8 j)

$- 2 i + 5 j - (- 4 i) - (8 j)$

Step 2.2

Multiply

- 4

$- 4$ by

- 1

$- 1$ .

- 2 i + 5 j + 4 i - (8 j)

$- 2 i + 5 j + 4 i - (8 j)$

Step 2.3

Multiply

8

$8$ by

- 1

$- 1$ .

- 2 i + 5 j + 4 i - 8 j

$- 2 i + 5 j + 4 i - 8 j$

- 2 i + 5 j + 4 i - 8 j

$- 2 i + 5 j + 4 i - 8 j$

Step 3

Simplify by adding terms.

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Step 3.1

Add

- 2 i

$- 2 i$ and

4 i

$4 i$ .

5 j + 2 i - 8 j

$5 j + 2 i - 8 j$

Step 3.2

Subtract

8 j

$8 j$ from

5 j

$5 j$ .

- 3 j + 2 i

$- 3 j + 2 i$

- 3 j + 2 i

$- 3 j + 2 i$

Step 4

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