Quick and Easy Vector Problem Help

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Homework Help Overview

The problem involves determining the relationship between two lines represented in parametric form: L(t) = <1-3t,0> and L(t) = <6t-2,-3>. The original poster is exploring whether these lines are parallel, perpendicular, or neither.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the possibility of visualizing the lines to aid understanding and question the effectiveness of purely computational methods.

Discussion Status

Some participants have suggested that visualizing the lines could enhance comprehension, while others are considering computational approaches. There is an ongoing exploration of how to analyze the lines' relationships.

Contextual Notes

There is a note that both lines have constant y-values, which may influence their relationship. The naming of both lines as L(t) has also been pointed out as potentially confusing.

Loppyfoot
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Homework Statement



Consider the line L(t) = <1-3t,0>. Then:
L is parallel, perpendicular or neither, to the Line L(t)= <6t-2,-3>

Homework Equations





The Attempt at a Solution



I am stumped!
 
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Loppyfoot said:

Homework Statement



Consider the line L(t) = <1-3t,0>. Then:
L is parallel, perpendicular or neither, to the Line L(t)= <6t-2,-3>

Homework Equations





The Attempt at a Solution



I am stumped!

Have you tried drawing the lines?
 
No I have not. Is there a way to solve these computationally?
 
Sure, but it's always good to have a visual idea of what they represent. Too often students try to do things on strictly a computational level and completely skip using the visual side of their brains. Using both is good.

Both lines (they shouldn't both be called L(t)) have y values that don't change.
 

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