SOLUTION: If vector a = 3i + 2j and vector b = 7i + 4j, find vector a + vector b as a. a sum of two components b. a magnitude and angle in standard position

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Question 875890: If vector a = 3i + 2j and vector b = 7i + 4j, find vector a + vector b as
a. a sum of two components
b. a magnitude and angle in standard position

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=(3+7)i+(2+4)j=10i+6j
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abs%28a%2Bb%29=sqrt%2810%5E2%2B6%5E2%29=sqrt%28136%29=2%2Asqrt%2834%29
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tan%28theta%29=6%2F10=3%2F5
theta=30.96degrees