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Math Help - given that vector v1=2i-3j & v2=i+5j find:

  1. #1
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    given that vector v1=2i-3j & v2=i+5j find:

    a) the magnitude of the vector v1+(2xv2)
    b) the unit vector in the direction of (2xv1)-v2
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  2. #2
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    Re: given that vector v1=2i-3j & v2=i+5j find:

    Quote Originally Posted by bobmarly12345 View Post
    a) the magnitude of the vector v1+(2xv2)
    b) the unit vector in the direction of (2xv1)-v2
    To a):

    \overrightarrow{v_1} = \langle 2,-3 \rangle

    \overrightarrow{v_2} = \langle 1,5 \rangle

    then \overrightarrow{v_1} + 2 \cdot \overrightarrow{v_2} = \langle 2,-3 \rangle + 2 \cdot \langle 1,5 \rangle

    Continue.

    To b)

    Determine

    2 \cdot \overrightarrow{v_1} - \overrightarrow{v_2}

    Determine the length (the absolute value) of this vector sum. (I've got |2\cdot \overrightarrow{v_1} - \overrightarrow{v_2} | = \sqrt{130} )

    Let \vec u denote a unit vector in the direction of \vec v. Then this unit vector is determined by: \vec u = \frac{\vec v}{|\vec v|}
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