Trigonometry Examples

$(0, 0)$ , $(\sqrt{3}, 1)$

Step 1

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

$Q - P = (\sqrt{3} i + 1 j) - (0 i + 0 j)$

Step 2

Simplify each term.

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Step 2.1

Multiply $j$ by $1$ .

$\sqrt{3} i + j - (0 i + 0 j)$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $0$ by $i$ .

$\sqrt{3} i + j - (0 + 0 j)$

Step 2.2.2

Multiply $0$ by $j$ .

$\sqrt{3} i + j - (0 + 0)$

Step 2.3

Add $0$ and $0$ .

$\sqrt{3} i + j - 0$

Step 2.4

Multiply $- 1$ by $0$ .

$\sqrt{3} i + j + 0$

Step 3

Add $\sqrt{3} i + j$ and $0$ .

$\sqrt{3} i + j$

Step 4