Algebra Examples

(1, 2)

$(1, 2)$ ,

(7, 9)

$(7, 9)$

Step 1

To find the position vector, subtract the initial point vector

P

$P$ from the terminal point vector

Q

$Q$ .

Q - P = (7 i + 9 j) - (1 i + 2 j)

$Q - P = (7 i + 9 j) - (1 i + 2 j)$

Step 2

Simplify each term.

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Step 2.1

Multiply

i

$i$ by

1

$1$ .

7 i + 9 j - (i + 2 j)

$7 i + 9 j - (i + 2 j)$

Step 2.2

Apply the distributive property.

7 i + 9 j - i - (2 j)

$7 i + 9 j - i - (2 j)$

Step 2.3

Multiply

2

$2$ by

- 1

$- 1$ .

7 i + 9 j - i - 2 j

$7 i + 9 j - i - 2 j$

7 i + 9 j - i - 2 j

$7 i + 9 j - i - 2 j$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract

i

$i$ from

7 i

$7 i$ .

9 j + 6 i - 2 j

$9 j + 6 i - 2 j$

Step 3.2

Subtract

2 j

$2 j$ from

9 j

$9 j$ .

7 j + 6 i

$7 j + 6 i$

7 j + 6 i

$7 j + 6 i$

Step 4

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