Trigonometry Examples

$(0, - 4)$ , $(0, 4)$

Step 1

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

$Q - P = (0 i + 4 j) - (0 i - 4 j)$

Step 2

Simplify each term.

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Step 2.1

Multiply $0$ by $i$ .

$0 + 4 j - (0 i - 4 j)$

Step 2.2

Multiply $0$ by $i$ .

$0 + 4 j - (0 - 4 j)$

Step 2.3

Subtract $4 j$ from $0$ .

$0 + 4 j - (- 4 j)$

Step 2.4

Multiply $- 4$ by $- 1$ .

$0 + 4 j + 4 j$

Step 3

Simplify by adding terms.

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Step 3.1

Add $0$ and $4 j$ .

$4 j + 4 j$

Step 3.2

Add $4 j$ and $4 j$ .

$8 j$

Step 4