Trigonometry Examples

$(5, 18)$ , $(12, 14)$

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $5$ by $- 1$ .

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

Step 2.3

Multiply $18$ by $- 1$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $5 i$ from $12 i$ .

$14 j + 7 i - 18 j$

Step 3.2

Subtract $18 j$ from $14 j$ .

$- 4 j + 7 i$

Step 4