Trigonometry Examples

$(0, 1)$ , $(4, 1)$

Step 1

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

$Q - P = (4 i + 1 j) - (0 i + 1 j)$

Step 2

Simplify each term.

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Step 2.1

Multiply $j$ by $1$ .

$4 i + j - (0 i + 1 j)$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $0$ by $i$ .

$4 i + j - (0 + 1 j)$

Step 2.2.2

Multiply $j$ by $1$ .

$4 i + j - (0 + j)$

Step 2.3

Add $0$ and $j$ .

$4 i + j - j$

Step 3

Combine the opposite terms in $4 i + j - j$ .

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Step 3.1

Subtract $j$ from $j$ .

$4 i + 0$

Step 3.2

Add $4 i$ and $0$ .

$4 i$

Step 4