Quick and Easy Vector Problem Help

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The discussion revolves around determining the relationship between two lines defined by their parametric equations, L(t) = <1-3t,0> and L(t) = <6t-2,-3>. Participants suggest that visualizing the lines can aid in understanding their relationship, emphasizing the importance of combining computational methods with graphical representation. It is noted that both lines have constant y-values, indicating they are horizontal. The conversation highlights the need for clarity in naming the lines to avoid confusion. Ultimately, visualizing the problem can enhance comprehension and lead to a more effective solution.
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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.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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