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

$$a(6i-8j)+b(-8i+3j)=-26i-19j$$
i(6a-8b)-j(8a-3b)=-26i-19j

6a-8b=-26
8a-3b=-19

a=-37/23
b=54/47