Trigonometry Examples

$(0, 1)$ , $(2, 7)$

Step 1

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

$Q - P = (2 i + 7 j) - (0 i + 1 j)$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $0$ by $i$ .

$2 i + 7 j - (0 + 1 j)$

Step 2.1.2

Multiply $j$ by $1$ .

$2 i + 7 j - (0 + j)$

Step 2.2

Add $0$ and $j$ .

$2 i + 7 j - j$

Step 3

Subtract $j$ from $7 j$ .

$2 i + 6 j$

Step 4