[REP] Need homework help! Algebra 2

[5252]

Need some homework help please
Don't need to show work just answer please!

1 - Write each vector in polar form.
A) <2,3>

2. Write each vector in rectangular form.
A ) <5,30 degrees)
B ) <2, 135 degrees>

[Foxglove]

I'm just going by (you need an account to see links) xD


1. Write vector in polar form <2,3>

Vector form is (x,y)
Polar form is (r, θ)
where r is the length and θ is the direction.

Length: distance = sqrt(2^2 + 3^2) = sqrt(4 + 9) = sqrt (13)

Direction: tan theta = y/x
tan theta = 3/2
arctan (1.5) = 56.3�
theta = 56.3 degrees

In polar form:
( sqrt(13), 56.3�)



To convert polar form into rectangular form:

Given (r, θ)
x= r cos θ
y = r sin θ


So for #2:
A. (5, 30�)

x=5 cos 30� = 4.33
y = 5 sin 30� = 2.5

In rectangular form: (4.33, 2.5)


B. (2, 135�)

x= 2 cos 135� = 2(-0.707) = 2(-(√2)/2) = -√2
y = 2 sin 135� = 2((√2)/2) = √2

In rectangular form: (-√2 , √2)


Someone correct me if I did something wrong

[5252]

Thank you very much.