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Mathematics 20 Online
OpenStudy (anonymous):

Geometry Question

OpenStudy (anonymous):

What are the <i, j, k> components of the velocity?

OpenStudy (anonymous):

its moving towards point B, so it has velocity in all three directions

OpenStudy (anonymous):

Tip: If the velocity was 6, the components would have been <2, -4, -4>

OpenStudy (anonymous):

take a plan view you have an angle with the Z direction of angle whose sin (4/5.5) =46.64 deg so vel in this dir. 5.5 *cos 46.64 =3.77m/sec^2 that's my best shot the other dir. ditto

OpenStudy (phi):

I would first get a "direction vector" if it's moving from point A to point B, figure out v= B-A then normalize to make it unit length the velocity along each direction would be 5.5 vx, 5.5vy , 5.5 vz

OpenStudy (anonymous):

rB=<0, -4, 0>........rA=<-2, -3, 4> rB/A=<2, -1, -4>

OpenStudy (anonymous):

can I do something with that position vector?

OpenStudy (phi):

I think B is at <0 , -7, 0>

OpenStudy (anonymous):

yea your right so its <2,-4,-4>

OpenStudy (phi):

now make that unit length

OpenStudy (anonymous):

so rBA/||rBA||? I don't exactly remember

OpenStudy (phi):

yes. first, factor out any common numbers <1, -2, -2> is still pointing the same direction as <2, -4, -4> but shorter (smaller numbers) now find magnitude squared vT * v

OpenStudy (anonymous):

so (1/3)*<1, -2, -2> now I just gotta multiply it by the velocity to get the components. Thanks

OpenStudy (phi):

yes

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