SOLUTION: Find the modulus of the sum a+b and difference a-b of the vectors a=3i+2j and b=4i-j

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Question 1194653: Find the modulus of the sum a+b and difference a-b of the vectors a=3i+2j and b=4i-j
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the modulus of the sum a%2Bb and difference a-b of the
given:
a=3i%2B2j
b=4i-j
a+%2B+b=3i%2B2j%2B4i-j=7i%2Bj -> modulus =sqrt%287%5E2%2B1%5E2%29=sqrt%2850%29=sqrt%2825%2A2%29=5sqrt%282%29
a-b=3i%2B2j-%284i-j%29=3i%2B2j-4i%2Bj=-i%2B3j+-> modulus =sqrt%28%28-1%29%5E2%2B3%5E2%29=sqrt%2810%29+