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Find the Unit Vector in the Direction of the Given u=−3i−2j\mathbf { u } = - 3 \mathbf { i } - 2 \mathbf { j }

Question 19

Multiple Choice

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.
-Let u=−3i−2j\mathbf { u } = - 3 \mathbf { i } - 2 \mathbf { j } . Find the unit vector in the direction of u\mathbf { u } , and write your answer as a linear combination of the standard unit vectors i\mathbf { i } and j\mathbf { j } .


A) −313i+213j\frac { - 3 } { \sqrt { 13 } } \mathrm { i } + \frac { 2 } { \sqrt { 13 } } \mathrm { j }
B) −313i−213j- \frac { 3 } { 13 } i - \frac { 2 } { 13 } j
C) −313i−213j\frac { - 3 } { \sqrt { 13 } } \mathrm { i } - \frac { 2 } { \sqrt { 13 } } \mathrm { j }
D) −35i−25j- \frac { 3 } { 5 } i - \frac { 2 } { 5 } j

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