Trigonometry Examples

$(5, 5)$ , $(- 5, - 2)$

Step 1

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

$Q - P = (- 5 i - 2 j) - (5 i + 5 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 5 i - 2 j - (5 i) - (5 j)$

Step 2.2

Multiply $5$ by $- 1$ .

$- 5 i - 2 j - 5 i - (5 j)$

Step 2.3

Multiply $5$ by $- 1$ .

$- 5 i - 2 j - 5 i - 5 j$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $5 i$ from $- 5 i$ .

$- 2 j - 10 i - 5 j$

Step 3.2

Subtract $5 j$ from $- 2 j$ .

$- 7 j - 10 i$

Step 4