Trigonometry Examples

$(0, 0)$ , $(3, 9)$

Step 1

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

$Q - P = (3 i + 9 j) - (0 i + 0 j)$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $0$ by $i$ .

$3 i + 9 j - (0 + 0 j)$

Step 2.1.2

Multiply $0$ by $j$ .

$3 i + 9 j - (0 + 0)$

Step 2.2

Add $0$ and $0$ .

$3 i + 9 j - 0$

Step 2.3

Multiply $- 1$ by $0$ .

$3 i + 9 j + 0$

Step 3

Add $3 i + 9 j$ and $0$ .

$3 i + 9 j$

Step 4