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Math Help - vectors question

  1. #1
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    vectors question

    question 1: in the school track and field meet, three competitiors participated in the senior division discus event. the second competitior threw the discus about one and a half times as far as the first, however the third competitor threw it only about four fifths as far. draw a vector digram representing the displacements of the discus for the three competitors assuming that all throws were in roughly the same direction

    question 2: draw two non parallel vectors u and v for these vectors draw

    4u, -3.5v, u + 1/3v
    Last edited by halb; February 9th 2009 at 07:46 AM.
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  2. #2
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    Quote Originally Posted by halb View Post
    question 1: in the school track and field meet, three competitiors participated in the senior division discus event. the second competitior threw the discus about one and a half times as far as the first, however the third competitor threw it only about four fifths as far. draw a vector digram representing the displacements of the discus for the three competitors assuming that all throws were in roughly the same direction
    "In roughly the same direction" means we can just work with the distances and not worry about vectors.
    Draw one line and label it "a"- that represents the distance the first competitor threw the discus. Draw another line, starting at the same point but at a slight angle right next to it one and a half times as long. Label it "b" to represent the second competitors throw. Finally draw a third line, again starting at the same point at a slight angle, four fifths as long as the first and label it "c" for the third competitors throw. That's all that is asked!

    question 2: draw two non parallel vectors u and v for these vectors draw

    4u, -3.5v, u + 1/3v
    Draw two arrows, starting at the same point but at different angles, and label them "u" and "v". Draw another vector, again starting at the same point in the same direction as u but 4 times as long. Draw a fourth vector, starting at the same point, in the direction opposite to v and 3.5 times as long. The last one is the only one that requires any "work". Draw a temporary line from the tip of u, parallel to v. Mark off a point along that line 1/3 the length of v. Draw a vector from the mutual starting point of all these vectors to that point then erase the temporary line.
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