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1. Homework Statement

1. Homework Statement

two cylindrical polar vectors with same origin:

P(2,55°,3); Q(4,25°,6) units in m

## Homework Equations

a) Express in cartesian coordinates

b) Express in unit vectors

c) Find the distance from origin described by each P and Q

d) Find the distance between P and Q and the vector displacement between P and Q

e) Express the distance between P and Q in degrees

## The Attempt at a Solution

a)

P(2*cos(55), 2*sin(55), 3)

Q(4*cos(25), 4*sin(25), 6)

b)

P:

i= (cos(55), sin(55), 0)

j= (-sin(55), cos(55), 0)

k=(0,0,1)

Q:

i= (cos(25), sin(25), 0)

j= (-sin(25), cos(25), 0)

k=(0,0,1)

c) That would just be a matter of calculating the magnitude, correct?

d)

is this correct?

sqrt( Px - Qx, Py - Qy, Pz - Qz)

using the cartesian coordinates.

Would you please point me in the right direction as to what the difference is between calculating the vector displacement and the distance between the two points?

I'd appreciate your input and hope I got some of it right at least!