Trigonometry 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

Add $- 6 i$ and $3 i$ .

$- 8 j - 3 i + 5 j$

Step 3.2

Add $- 8 j$ and $5 j$ .

$- 3 j - 3 i$

Step 4