Trigonometry Examples

$v = 7 i - 2 j$

Step 1

Rewrite the equation as $7 i - 2 j = v$ .

$7 i - 2 j = v$

Step 2

Subtract $7 i$ from both sides of the equation.

$- 2 j = v - 7 i$

Step 3

Divide each term in $- 2 j = v - 7 i$ by $- 2$ and simplify.

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Step 3.1

Divide each term in $- 2 j = v - 7 i$ by $- 2$ .

$\frac{- 2 j}{- 2} = \frac{v}{- 2} + \frac{- 7 i}{- 2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 2 j}{- 2} = \frac{v}{- 2} + \frac{- 7 i}{- 2}$

Step 3.2.1.2

Divide $j$ by $1$ .

$j = \frac{v}{- 2} + \frac{- 7 i}{- 2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative in front of the fraction.

$j = - \frac{v}{2} + \frac{- 7 i}{- 2}$

Step 3.3.1.2

Dividing two negative values results in a positive value.

$j = - \frac{v}{2} + \frac{7 i}{2}$