Trigonometry Examples

$(5, 3)$ , $(10, - 8)$

Step 1

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

$Q - P = (10 i - 8 j) - (5 i + 3 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$10 i - 8 j - (5 i) - (3 j)$

Step 2.2

Multiply $5$ by $- 1$ .

$10 i - 8 j - 5 i - (3 j)$

Step 2.3

Multiply $3$ by $- 1$ .

$10 i - 8 j - 5 i - 3 j$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $5 i$ from $10 i$ .

$- 8 j + 5 i - 3 j$

Step 3.2

Subtract $3 j$ from $- 8 j$ .

$- 11 j + 5 i$

Step 4