17.6m[43o]
a. X = 17.6*cos43
b. Y = 17.6*sin43
a. X = 17.6*cos43
b. Y = 17.6*sin43
(a) To find the x-component (ax) of the vector, we can use cosine since it represents the adjacent side:
ax = magnitude * cos(θ)
ax = 17.6 m * cos(43°)
(b) To find the y-component (ay) of the vector, we can use sine since it represents the opposite side:
ay = magnitude * sin(θ)
ay = 17.6 m * sin(43°)
(c) To find the x-component (a'x) of the vector in the primed coordinate system, we need to consider the angle θ' and use cosine:
a'x = magnitude * cos(θ - θ')
a'x = 17.6 m * cos(43° - 20°)
(d) To find the y-component (a'y) of the vector in the primed coordinate system, we need to consider the angle θ' and use sine:
a'y = magnitude * sin(θ - θ')
a'y = 17.6 m * sin(43° - 20°)
To calculate the values, plug in the given angle values and evaluate the trigonometric functions using a scientific calculator or software.