Trigonometry Examples

$(- 4, 8)$ , $(- 2, 5)$

Step 1

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

$Q - P = (- 2 i + 5 j) - (- 4 i + 8 j)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 2 i + 5 j - (- 4 i) - (8 j)$

Step 2.2

Multiply $- 4$ by $- 1$ .

$- 2 i + 5 j + 4 i - (8 j)$

Step 2.3

Multiply $8$ by $- 1$ .

$- 2 i + 5 j + 4 i - 8 j$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 2 i$ and $4 i$ .

$5 j + 2 i - 8 j$

Step 3.2

Subtract $8 j$ from $5 j$ .

$- 3 j + 2 i$

Step 4

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