Analytical Geometry HW: 1.2.1, mPR & mRN Solutions

[DERRAN]

Homework Statement

http://img23.imageshack.us/img23/8680/68366634.gif


1.2.1 only!

Homework Equations

The Attempt at a Solution

m_PR=1/2
tan(1/2)=26.57

m_RN= -1/5
ref angle=11.32

R=11.32+26.57
=37.88

is it correct?

 

[Mark44]

Homework Statement

http://img23.imageshack.us/img23/8680/68366634.gif


1.2.1 only!

Homework Equations

The Attempt at a Solution

m_PR=1/2
tan(1/2)=26.57

m_RN= -1/5
ref angle=11.32

R=11.32+26.57
=37.88

is it correct?

I don't think so. The problem asks for [tex]\hat{R}[/tex]. The caret (or "hat") is usually interpreted to mean a unit vector, but that's probably not what is meant here, since the magnitude of any unit vector is 1. I think that what is asked for is the magnitude of the vector from O to R. You seem to have calculated the measure of angle PRQ. Since it's not clear to me what [tex]\hat{R}[/tex] is intended to represent, it's unclear to me what this problem is asking you to do.

Your calculation of the slope of PR is correct, but this isn't:

tan(1/2)=26.57

You can say that arctan(1/2) = 26.57 degrees, or that tan^-1(1/2) = 26.57 degrees, where both are approximations.
That

 

[Architeuthis Dux]

I cannot confirm the accuracy of your solution without further context. It would be helpful to know the specific problem being solved and the given information. Additionally, please provide the equations and steps used to arrive at your solution. This will allow for a more thorough evaluation of your work.