How do you find the unit vector in the direction of the given vector of $w = - 6 i$ $w=-6i$ ?

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Answer 1 · 2017-11-17T11:33:58

$- ˆ i$ $-hati$

For the unit vector in the direction of a given vector:

$v_{2} = \frac{v_{1}}{| | v_{1} | |}$ $v_2= v_1/||v_1||$

From example:

$w = \frac{- 6 ˆ i}{∣ ∣ ∣ ∣ - 6 ˆ i ∣ ∣ ∣ ∣}$ $w=(-6hat(i))/||-6hati||$

$| | - 6 | | = \sqrt{{(- 6)}^{2}} = 6$ $||-6||=sqrt((-6)^2)=6$

$w = \frac{- 6 ˆ i}{6} = - ˆ i$ $w=(-6hati)/6=-hati$

How do you find the unit vector in the direction of the given vector of w=−6iw=-6i?