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For v=-5i-2j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vectors i and j.

a. u=-5/7i-2/7j
b. u=-5/29i-2/29j
c. u=-5(sqrt(29))/29i-2(sqrt(29))/29j
d. u=-5(sqrt(7))/7i-2(sqrt(7))/7j

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1 answer

  1. find the length of -5i - 2j
    = √(25+4) = √29
    divide each component by √29

    You might have to rationalize the denominator,
    I don't see any radicals in a. and b. , so rule those out

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