- #1

Rombus

- 16

- 0

## Homework Statement

Show that the vector fields

**A**=

**a**

_{r}(sin2θ)/r

^{2}+2

**a**

_{θ}(sinθ)/r

^{2}and

**B**= rcosθ

**a**

_{r}+r

**a**

_{θ}are everywhere parallel to each other.

## Homework Equations

[itex]\mathbf{A} \cdot \mathbf{B} = |\mathbf{A}||\mathbf{B}|\cos(0)[/itex]

## The Attempt at a Solution

So, if the dot product equals 1. They should be parallel correct?

**A**={sin(2θ)/(r

^{2}),2(sin(θ)/r

^{2}),0}

**B**={rcos(θ),r,0}

if this is the dot product how do I determine the angle between the vectors?

(2 Sin(θ))/r + (Cos(θ) Sin(2 θ))/r

Do i need to transform to rectangular coordinates?

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