Trigonometry Examples

$p = (- 11, - 12)$ , $q = (2, 5)$

Step 1

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

$Q - P = (2 i + 5 j) - (- 11 i - 12 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 i + 5 j - (- 11 i) - (- 12 j)$

Step 2.2

Multiply $- 11$ by $- 1$ .

$2 i + 5 j + 11 i - (- 12 j)$

Step 2.3

Multiply $- 12$ by $- 1$ .

$2 i + 5 j + 11 i + 12 j$

Step 3

Simplify by adding terms.

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Step 3.1

Add $2 i$ and $11 i$ .

$5 j + 13 i + 12 j$

Step 3.2

Add $5 j$ and $12 j$ .

$17 j + 13 i$

Step 4