Trigonometry Examples

$(- 3, i) - (4, j)$

Step 1

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

$Q - P = (4 i + j \cdot j) - (- 3 i + i j)$

Step 2

Simplify each term.

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Step 2.1

Multiply $j$ by $j$ .

$4 i + j^{2} - (- 3 i + i j)$

Step 2.2

Apply the distributive property.

$4 i + j^{2} - (- 3 i) - (i j)$

Step 2.3

Multiply $- 3$ by $- 1$ .

$4 i + j^{2} + 3 i - i j$

Step 3

Add $4 i$ and $3 i$ .

$j^{2} + 7 i - i j$