If vector A = (6.00 i -8.00 j) units, vector B = (-8.00 i + 3.00 j) units, and vector C = (25.0 i + 22.0 j) units, determine a and b such that (a vector A + b vector B + vector C= 0.)

Question

a=?
b=?

Answer 1

x direction:

6 a - 8 b + 25 = 0

y direction:
-8 a + 3 b + 22 = 0
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24 a - 32 b + 100 = 0
-24 a + 9 b + 66 = 0
-------------------------add
- 23 b + 166 = 0
b = 7.22
a = 5.46
check my arithmetic !

Answer 2

Ffyytttt

Answer 3

But it is wrong