Final answer:
The components of the vector c⃗ with length c = 1.00 and angle ϕ= 25.0∘ are 0.9063 and 0.4226 in the x and y directions, respectively.
Step-by-step explanation:
To find the components of a vector c⃗ with length c = 1.00 and angle ϕ= 25.0°, we can use the equations Ax = Acosϕ and Ay = Asinϕ. Given that the length of the vector c is 1.00, we can substitute this value into the equations.
So, Ax = 1.00*cos(25.0°) =0.9063 and Ay = 1.00*sin(25.0°) = 0.4226
Therefore, the components of the vector c⃗ are 0.9063 and 0.4226, in the x and y directions, respectively.