Trigonometry Examples

$6 v = - 3 i + 7 j$

Step 1

Divide each term in $6 v = - 3 i + 7 j$ by $6$ .

$\frac{6 v}{6} = \frac{- 3 i}{6} + \frac{7 j}{6}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{6 v}{6} = \frac{- 3 i}{6} + \frac{7 j}{6}$

Step 2.1.2

Divide $v$ by $1$ .

$v = \frac{- 3 i}{6} + \frac{7 j}{6}$

$v = \frac{- 3 i}{6} + \frac{7 j}{6}$

$v = \frac{- 3 i}{6} + \frac{7 j}{6}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Cancel the common factor of $- 3$ and $6$ .

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Step 3.1.1.1

Factor $3$ out of $- 3 i$ .

$v = \frac{3 (- i)}{6} + \frac{7 j}{6}$

Step 3.1.1.2

Cancel the common factors.

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Step 3.1.1.2.1

Factor $3$ out of $6$ .

$v = \frac{3 (- i)}{3 (2)} + \frac{7 j}{6}$

Step 3.1.1.2.2

Cancel the common factor.

$v = \frac{3 (- i)}{3 \cdot 2} + \frac{7 j}{6}$

Step 3.1.1.2.3

Rewrite the expression.

$v = \frac{- i}{2} + \frac{7 j}{6}$

$v = \frac{- i}{2} + \frac{7 j}{6}$

$v = \frac{- i}{2} + \frac{7 j}{6}$

Step 3.1.2

Move the negative in front of the fraction.

$v = - \frac{i}{2} + \frac{7 j}{6}$

$v = - \frac{i}{2} + \frac{7 j}{6}$

$v = - \frac{i}{2} + \frac{7 j}{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$