Question

The vector \vec{\textbf{A}}
A
in the (x,y)(x,y) plane has magnitude A = 3.3 A=3.3 and makes angle \theta = 146^\circθ=146
∘
with the x axis, where \thetaθ is measured in the geometric or anticlockwise sense. What are the components of \vec{\textbf{A}}
A
in the x and y directions? Hint: draw a sketch first.

Answer 1

where θ is measured in the geometric or anticlockwise sense. What are the components of A⃗ in the x and y directions? Hint: draw a sketch first.

Write your answer in the form: x, y. For example: 1.5, 2.0

where θ is measured in the geometric or anticlockwise sense. What are the components of A⃗ in the x and y directions? Hint: draw a sketch first.

Write your answer in the form: x, y. For example: 1.5, 2.0

Answer 2

Answer:

Since the vector only rotates, its magnitude must remain constant.

(x_0)^2 + (y_0)^2 =(x_1)^2 + (y_1)^2

4^2 + 10^2 = 8^2 + (y_1)^2

(y_1)^2 = 52

Therefore,

y_1 =7.2