Trigonometry Examples

$(0, 0)$ , $(0, - 5)$

Step 1

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

$Q - P = (0 i - 5 j) - (0 i + 0 j)$

Step 2

Simplify each term.

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Step 2.1

Multiply $0$ by $i$ .

$0 - 5 j - (0 i + 0 j)$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $0$ by $i$ .

$0 - 5 j - (0 + 0 j)$

Step 2.2.2

Multiply $0$ by $j$ .

$0 - 5 j - (0 + 0)$

Step 2.3

Add $0$ and $0$ .

$0 - 5 j - 0$

Step 2.4

Multiply $- 1$ by $0$ .

$0 - 5 j + 0$

Step 3

Combine the opposite terms in $0 - 5 j + 0$ .

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Step 3.1

Subtract $5 j$ from $0$ .

$- 5 j + 0$

Step 3.2

Add $- 5 j$ and $0$ .

$- 5 j$

Step 4