Examples

(5, 18)

$(5, 18)$ ,

(12, 14)

$(12, 14)$

Step 1

To find the position vector, subtract the initial point vector

P

$P$ from the terminal point vector

Q

$Q$ .

Q - P = (12 i + 14 j) - (5 i + 18 j)

$Q - P = (12 i + 14 j) - (5 i + 18 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

12 i + 14 j - (5 i) - (18 j)

$12 i + 14 j - (5 i) - (18 j)$

Step 2.2

Multiply

5

$5$ by

- 1

$- 1$ .

12 i + 14 j - 5 i - (18 j)

$12 i + 14 j - 5 i - (18 j)$

Step 2.3

Multiply

18

$18$ by

- 1

$- 1$ .

12 i + 14 j - 5 i - 18 j

$12 i + 14 j - 5 i - 18 j$

12 i + 14 j - 5 i - 18 j

$12 i + 14 j - 5 i - 18 j$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract

5 i

$5 i$ from

12 i

$12 i$ .

14 j + 7 i - 18 j

$14 j + 7 i - 18 j$

Step 3.2

Subtract

18 j

$18 j$ from

14 j

$14 j$ .

- 4 j + 7 i

$- 4 j + 7 i$

- 4 j + 7 i

$- 4 j + 7 i$

Step 4

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