Trigonometry Examples

$(1, 2)$ , $(- 5, 7)$

Step 1

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

$Q - P = (- 5 i + 7 j) - (1 i + 2 j)$

Step 2

Simplify each term.

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Step 2.1

Multiply $i$ by $1$ .

$- 5 i + 7 j - (i + 2 j)$

Step 2.2

Apply the distributive property.

$- 5 i + 7 j - i - (2 j)$

Step 2.3

Multiply $2$ by $- 1$ .

$- 5 i + 7 j - i - 2 j$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $i$ from $- 5 i$ .

$7 j - 6 i - 2 j$

Step 3.2

Subtract $2 j$ from $7 j$ .

$5 j - 6 i$

Step 4