Finite Math Examples

$(- 7, - 4)$ , $(7, - 8)$

Step 1

To find the position vector, subtract the initial point vector $P$ from the terminal point vector $Q$ .

$Q - P = (7 i - 8 j) - (- 7 i - 4 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$7 i - 8 j - (- 7 i) - (- 4 j)$

Step 2.2

Multiply $- 7$ by $- 1$ .

$7 i - 8 j + 7 i - (- 4 j)$

Step 2.3

Multiply $- 4$ by $- 1$ .

$7 i - 8 j + 7 i + 4 j$

Step 3

Simplify by adding terms.

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Step 3.1

Add $7 i$ and $7 i$ .

$- 8 j + 14 i + 4 j$

Step 3.2

Add $- 8 j$ and $4 j$ .

$- 4 j + 14 i$

Step 4