Ask Experts Questions for FREE Help !
Ask
    western50's Avatar
    western50 Posts: 105, Reputation: 1
    Junior Member
    		  
    #1

    Jan 25, 2011, 11:50 PM
    vector in R^3
    do the parametric equations x=3t^3+7, y=2-t^3, z=5t^3+1 determine a line?
    I think they all together determine a line, but I don't know how to explain in a proper way!! please help.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
    		  
    #2

    Jan 26, 2011, 05:24 AM

    Yes, it's a line. From y = 2-t^3 you have t^3 = 2-y. Sub that back into the other two equations and you have:



    From this you can see that x and z are both linear functions of y, and hence z is also a linear function of x. So you have a line.
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

Do you divide the given vector by the magnitude to find the unit vector? [ 1 Answers ]

The problem asks me to find a unit vector in the direction of the given vector. The problem is w=i-2j and another is w=2j.

Vector [ 1 Answers ]

An object moves with constant acceleration a = 2.5 m/s2 in the due North direction. At time t = 2, the velocity of the object is v0 = 5 m/s in the due East direction. What is the magnitude of the velocity at t = 4 s? the way to get the answer is to use Pythagorean theorem, right? I am not sure...

Finding an angle give a vector and the magnitude of another vector. [ 3 Answers ]

On her way to grandmas, red ridding hood sat down her 1.2kg basket. A wolf came up beside her and began to pull on the basket with a force of 6.4N at an angle 25 degrees with respect to vertical. Red pulled back with force of 12 N. if the net force on the basket is straight up at what angle was...

View more questions Search