Finite Math Examples

$(3, 5)$ , $(6, 8)$

Step 1

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

$Q - P = (6 i + 8 j) - (3 i + 5 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$6 i + 8 j - (3 i) - (5 j)$

Step 2.2

Multiply $3$ by $- 1$ .

$6 i + 8 j - 3 i - (5 j)$

Step 2.3

Multiply $5$ by $- 1$ .

$6 i + 8 j - 3 i - 5 j$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $3 i$ from $6 i$ .

$8 j + 3 i - 5 j$

Step 3.2

Subtract $5 j$ from $8 j$ .

$3 j + 3 i$

Step 4