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Math Help - Lesson 8-4 Perpendicular Vectors: Cross products

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    Lesson 8-4 Perpendicular Vectors: Cross products

    Use the definition of cross products to prove that for any vectors, a, b, c,
    a x (b + c) = (a x b) + (a x c)
    *the variables have a little arrow on top of them
    please show all work for this problem
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    Re: Lesson 8-4 Perpendicular Vectors: Cross products

    Quote Originally Posted by Vileblood View Post
    Use the definition of cross products to prove that for any vectors, a, b, c, a x (b + c) = (a x b) + (a x c)
    please show all work for this problem
    Why have you not shown any work whatsoever?
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    Re: Lesson 8-4 Perpendicular Vectors: Cross products

    I don't know where to begin with this problem.
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    Re: Lesson 8-4 Perpendicular Vectors: Cross products

    Quote Originally Posted by Vileblood View Post
    I don't know where to begin with this problem.
    Since the instructions say to use the definition of a cross product, I'd start there.
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    Re: Lesson 8-4 Perpendicular Vectors: Cross products

    Quote Originally Posted by Vileblood View Post
    I don't know where to begin with this problem.
    Start with a=<a_x,a_y,a_z>,~b=<b_x,b_y,b_z>,~\&~c=<c_x,c_y,c_  z>.

    Then use the definitions to find a\times b + a\times c.

    Then try to unpack it to get a\times(b+c).
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