If A (with arrow above)= (6.00i-8.00j) units, B (with arrow above)= (-8.00i+ 3.00j) units, and C (with arrow above) = (26.0i+ 19.0j) units, determine a and b such that aA(with arrow above+ bB(with arrow above) + C(with arrow above) = 0.

a=
b=

Question

If  A (with arrow above)= (6.00i-8.00j) units, B (with arrow above)= (-8.00i+ 3.00j) units, and C (with arrow above) = (26.0i+ 19.0j) units, determine a and b such that aA(with arrow above+ bB(with arrow above) + C(with arrow above) = 0.

a=
b=

anonymous · Answer

?anyone

anonymous · Answer

6a + (-8)b + 26 = 0
-8a + 3b + 19 = 0

anonymous · Answer

Then you can multiply the top by 4 and the bottom by 3
24a - 32b + 104 = 0
-24a + 9b + 57 = 0
-23b + 161 = 0
161 = 23b
b = 7
-8a + 3(7) + 19 = 0
-8a + 21 + 19 = 0
-8a + 40 = 0
40 = 8a
5 = a

anonymous · Answer

awesome!! thats what i got!!!! i just wanted to double check!!

anonymous · Answer

=)

anonymous · Answer

No problem. Vector analysis is always fun!

anonymous · Answer

lol not for me only because she doesnt teach it correctly!