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Two vectors A and B have components (0,1) and (-1,3) respectivly. What is the magnitude of the sum of these two vectors

Two vectors A and B have components (0,1) and (-1,3) respectivly. What is the magnitude of the sum of these two vectors
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5 votes
Two vectors A and B have components (0,1) and (-1,3) respectivly. What is the magnitude of the sum of these two vectors

User HarlandMason
by
7.8k points

1 Answer

6 votes
A = <0,1>
B = <-1,3>
then
A + B = < 0+-1 , 1+3 > = <-1, 4>
magnitude = sqrt( (-1)^2 + (4)^2 )
= sqrt( 1 + 16)
= sqrt(17)
User Zorglub
by
8.9k points
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