Hey math-type people help me with a math-type problem

[AnkhClock]

Allright, do any of you guys know what the component form of v (given the magnitude and the angle it makes with the X-axis) is, if:

a) ||v|| = 1 and θ = 45˚

b) ||v|| = (5/2) and θ = 45˚

c) ||v|| = 4√(3) and θ = 90˚

d) ||v|| = 3 and v is in the direction of (3i+4j)

Much love to ya if you're smarter at math than me (AKA I love you all)

[AirPumpClock]

Component form of v?

I'm in calculus, but I forgot this stuff. Refresh my memory.

[Wind-up Clock]

Sounds like Vectors.

I hate vectors.

[AnkhClock]

Component form of v?

I'm in calculus, but I forgot this stuff. Refresh my memory.

Well, the component for is basically
〈v1,v2〉

Sounds like Vectors.

I hate vectors.

It is vectors.

Can't blame you for hating them.

[Joey 57857]

Vecors make my eyes bleed if i could help i would.

[AirPumpClock]

Well, the component for is basically
〈v1,v2〉

What does that mean? I don't remember.

Also, vectors are extremely useful in game programming, but you don't usually have to do the math manually, just figure out what operation to use, if there is an operation.

[BehemothClock]

Well I'm gonna go out on a limb and say that these are the answers. I'm not sure if these are right at all. If some other math person could come by and verify these that'd be great:

a) (pi/6, pi/6)
b) (5(pi)/12, 5(pi)/12)
c) (0, 4sqrt(3))

And sorry but I'm really rusty on i hat j hat stuff

[AnkhClock]

Well I'm gonna go out on a limb and say that these are the answers. I'm not sure if these are right at all. If some other math person could come by and verify these that'd be great:

a) (pi/6, pi/6)
b) (5(pi)/12, 5(pi)/12)
c) (0, 4sqrt(3))

And sorry but I'm really rusty on i hat j hat stuff

Hey cool.
Can I double check your work to be sure?

[TequilaClock]

I swear I did this last semester, but I forgot how to do them

[Thom Yorke]

a) (pi/6, pi/6)
b) (5(pi)/12, 5(pi)/12)
c) (0, 4sqrt(3))

Why you getting co-ordinates?

Maybe I misunderstood the questions but I got .707167812 (cos 45 and sin 45) for (a).

EDIT

I'm pretty sure that question a is < sin θ , cos θ >. so I wouldn't trust this guy.

[RomanClock]

Just you some trig, I'm guessing this is for physics?

[DrClock]

The answer is B

[AnkhClock]

Just you some trig, I'm guessing this is for physics?

Naw, pre-calculous.
But my teacher's a bitch and never showed us how to do these so when nobody in class today figured these problems out she got mad at us.
If I knew how to do these, I wouldn't be asking the CC for help.

[Toaster]

= ?

[PimpMasterKDOG]

The component form of a vector is just the horizontal and vertical projection of the vector on to an x-y coordinate system.

So if M is a magnitude, Mx is the x-component, My is the y-component, and theta is the angle.

Mx = M*cos(theta)
My = M*sin(theta)

The answers off the top of my head would be:

1) Mx = 1*cos(45) = .707
My = 1*sin(45) = .707

2) Mx = (5/2)*cos(45) = 2.5*.707
My = (5/2)*sin(45) = 2.5*.707

3) Mx = 4√(3)*cos(90) = 0
My = 4√(3)*sin(90) = 4√(3)

And the last one you just need to figure out the angle from tan(theta)=4/3 and plug it in to the formula.

[AnkhClock]

PimpMaster KDOG you are the king of everything and I will start a polygamous cult in your name.

[AMPEEEM]

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