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Math Help - How do you do this problem?

  1. #1
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    How do you do this problem?

    Please offer step by step solutions

    There are three vectors. They are v= (3,-1,2), b= (4,2,-5) and n= (1,3,-7). Please prove that they form a closed triangle. What type of triangle is it?

    Thanks!!!
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  2. #2
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    Re: How do you do this problem?

    Quote Originally Posted by mortifiedpenguin1 View Post
    Please offer step by step solutions
    Sorry, this is not a homework service. You can ask for hints and ideas, but not complete solutions.

    Quote Originally Posted by mortifiedpenguin1 View Post
    There are three vectors. They are v= (3,-1,2), b= (4,2,-5) and n= (1,3,-7). Please prove that they form a closed triangle.
    Prove that for some combination of + and -, v b n = 0.

    Quote Originally Posted by mortifiedpenguin1 View Post
    What type of triangle is it?
    You can find out if the angle between two vectors is acute, right or obtuse by taking the dot product of the vectors. You have to be careful with orientation, though. For example, for the following vectors:

    How do you do this problem?-vectors.png

    the dot product \vec{x}\cdot\vec{y} is negative even though the angle is acute. That's because when the vectors are drawn having the same starting point, the angle between them is obtuse.
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  3. #3
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    Re: How do you do this problem?

    What does the fact that the scalar product of v and b =0 tell you
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  4. #4
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    Re: How do you do this problem?

    Quote Originally Posted by biffboy View Post
    What does the fact that the scalar product of v and b =0 tell you
    If the dot product of two vectors is zero then those vectors are perpendicular.
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