Trigonometry Examples

$(- 3, 1)$ , $(7, 0)$

Step 1

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

$Q - P = (7 i + 0 j) - (- 3 i + 1 j)$

Step 2

Simplify each term.

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Step 2.1

Multiply $0$ by $j$ .

$7 i + 0 - (- 3 i + 1 j)$

Step 2.2

Multiply $j$ by $1$ .

$7 i + 0 - (- 3 i + j)$

Step 2.3

Apply the distributive property.

$7 i + 0 - (- 3 i) - j$

Step 2.4

Multiply $- 3$ by $- 1$ .

$7 i + 0 + 3 i - j$

Step 3

Simplify by adding terms.

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Step 3.1

Add $7 i$ and $0$ .

$7 i + 3 i - j$

Step 3.2

Add $7 i$ and $3 i$ .

$10 i - j$

Step 4