Final answer:
The value of a is -20.58 and the value of b is 3.25.
Step-by-step explanation:
To find the unknown constants a and b such that aĎ + bB + Ã = 0, we can equate the components of the vectors on both sides of the equation.
For the x-components:
a = a
0 + b(-8.00) + 26.0 = 0
-8.00b = -26.0
b = 3.25
For the y-components:
a(3.00) + b(19.0) = 0
3.00a + 19.0b = 0
3.00a + 19.0(3.25) = 0
3.00a + 61.75 = 0
3.00a = -61.75
a = -20.58
Therefore, a = -20.58 and b = 3.25.
Learn more about values of variables