Spring 2018 Set 01: Problem 19 Previous Problem List (1 point) Find unit vectors

Question

Spring 2018 Set 01: Problem 19 Previous Problem List (1 point) Find unit vectors that satisfy the given conditions 1. The unit vector in the same direction as (3, -1) is 2. The unit vector oppositely directed to 2k is 3 The unit vector that has the same direction as the vector from the point A = (41) to the point B = (1, 3) is Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining Email instructor

Explanation / Answer

1. Unit vector in the same direction = vector/ magnitude

Magnitude of <3,-1 >=sqrt(9+1)=sqrt10

Required unit vector = <3,-1>/sqrt10=<3/sqrt10,-1/sqrt10>

2.Unit vector oppositely directed to 2k is -2k

3. Vector=<1-4,-3-1>=<-3,-4>

magnitude = sqrt(9+16)=sqrt25=5

Required unit vector <-3/5,-4/5>

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