Symbol for vectors with same direction












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How do you state that two vectors $vec{A}$ and $vec{B}$ have the same direction? I know the symbol $| |$ shows that they are parallel, but is there a symbol like this that shows that the direction of the vectors are equal. I think you would call the two vectors collinear. Is there a symbol to show that two vectors are collinear?










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  • $begingroup$
    Is there a reason parallel isn't enough? Because that literally means their directions are exactly the same
    $endgroup$
    – Triatticus
    Oct 18 '17 at 14:20






  • 1




    $begingroup$
    I’m not sure if there’s a symbol for linear dependence (but there may well be one), but to show it you can write $vec{A}=kvec{B}$ for some (scalar) constant $k$
    $endgroup$
    – aidangallagher4
    Oct 18 '17 at 14:21






  • 1




    $begingroup$
    Generally the word parallel is used for vectors pointing in the same direction, and anti-parallel is used for vectors which are pointing in opposite directions.
    $endgroup$
    – Alex
    Oct 18 '17 at 14:22






  • 1




    $begingroup$
    Perhaps he means one vector is a nonnegative scalar multiple of the other. That is: the case of equality for the triangle inequality.
    $endgroup$
    – GEdgar
    Oct 18 '17 at 14:38










  • $begingroup$
    @aidangallagher4 yeah that's what I ended up using, I was just wondering if there was a better symbol for it.
    $endgroup$
    – Bhaskar
    Oct 19 '17 at 2:40
















0












$begingroup$


How do you state that two vectors $vec{A}$ and $vec{B}$ have the same direction? I know the symbol $| |$ shows that they are parallel, but is there a symbol like this that shows that the direction of the vectors are equal. I think you would call the two vectors collinear. Is there a symbol to show that two vectors are collinear?










share|cite|improve this question









$endgroup$












  • $begingroup$
    Is there a reason parallel isn't enough? Because that literally means their directions are exactly the same
    $endgroup$
    – Triatticus
    Oct 18 '17 at 14:20






  • 1




    $begingroup$
    I’m not sure if there’s a symbol for linear dependence (but there may well be one), but to show it you can write $vec{A}=kvec{B}$ for some (scalar) constant $k$
    $endgroup$
    – aidangallagher4
    Oct 18 '17 at 14:21






  • 1




    $begingroup$
    Generally the word parallel is used for vectors pointing in the same direction, and anti-parallel is used for vectors which are pointing in opposite directions.
    $endgroup$
    – Alex
    Oct 18 '17 at 14:22






  • 1




    $begingroup$
    Perhaps he means one vector is a nonnegative scalar multiple of the other. That is: the case of equality for the triangle inequality.
    $endgroup$
    – GEdgar
    Oct 18 '17 at 14:38










  • $begingroup$
    @aidangallagher4 yeah that's what I ended up using, I was just wondering if there was a better symbol for it.
    $endgroup$
    – Bhaskar
    Oct 19 '17 at 2:40














0












0








0





$begingroup$


How do you state that two vectors $vec{A}$ and $vec{B}$ have the same direction? I know the symbol $| |$ shows that they are parallel, but is there a symbol like this that shows that the direction of the vectors are equal. I think you would call the two vectors collinear. Is there a symbol to show that two vectors are collinear?










share|cite|improve this question









$endgroup$




How do you state that two vectors $vec{A}$ and $vec{B}$ have the same direction? I know the symbol $| |$ shows that they are parallel, but is there a symbol like this that shows that the direction of the vectors are equal. I think you would call the two vectors collinear. Is there a symbol to show that two vectors are collinear?







notation vectors






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asked Oct 18 '17 at 14:18









BhaskarBhaskar

468




468












  • $begingroup$
    Is there a reason parallel isn't enough? Because that literally means their directions are exactly the same
    $endgroup$
    – Triatticus
    Oct 18 '17 at 14:20






  • 1




    $begingroup$
    I’m not sure if there’s a symbol for linear dependence (but there may well be one), but to show it you can write $vec{A}=kvec{B}$ for some (scalar) constant $k$
    $endgroup$
    – aidangallagher4
    Oct 18 '17 at 14:21






  • 1




    $begingroup$
    Generally the word parallel is used for vectors pointing in the same direction, and anti-parallel is used for vectors which are pointing in opposite directions.
    $endgroup$
    – Alex
    Oct 18 '17 at 14:22






  • 1




    $begingroup$
    Perhaps he means one vector is a nonnegative scalar multiple of the other. That is: the case of equality for the triangle inequality.
    $endgroup$
    – GEdgar
    Oct 18 '17 at 14:38










  • $begingroup$
    @aidangallagher4 yeah that's what I ended up using, I was just wondering if there was a better symbol for it.
    $endgroup$
    – Bhaskar
    Oct 19 '17 at 2:40


















  • $begingroup$
    Is there a reason parallel isn't enough? Because that literally means their directions are exactly the same
    $endgroup$
    – Triatticus
    Oct 18 '17 at 14:20






  • 1




    $begingroup$
    I’m not sure if there’s a symbol for linear dependence (but there may well be one), but to show it you can write $vec{A}=kvec{B}$ for some (scalar) constant $k$
    $endgroup$
    – aidangallagher4
    Oct 18 '17 at 14:21






  • 1




    $begingroup$
    Generally the word parallel is used for vectors pointing in the same direction, and anti-parallel is used for vectors which are pointing in opposite directions.
    $endgroup$
    – Alex
    Oct 18 '17 at 14:22






  • 1




    $begingroup$
    Perhaps he means one vector is a nonnegative scalar multiple of the other. That is: the case of equality for the triangle inequality.
    $endgroup$
    – GEdgar
    Oct 18 '17 at 14:38










  • $begingroup$
    @aidangallagher4 yeah that's what I ended up using, I was just wondering if there was a better symbol for it.
    $endgroup$
    – Bhaskar
    Oct 19 '17 at 2:40
















$begingroup$
Is there a reason parallel isn't enough? Because that literally means their directions are exactly the same
$endgroup$
– Triatticus
Oct 18 '17 at 14:20




$begingroup$
Is there a reason parallel isn't enough? Because that literally means their directions are exactly the same
$endgroup$
– Triatticus
Oct 18 '17 at 14:20




1




1




$begingroup$
I’m not sure if there’s a symbol for linear dependence (but there may well be one), but to show it you can write $vec{A}=kvec{B}$ for some (scalar) constant $k$
$endgroup$
– aidangallagher4
Oct 18 '17 at 14:21




$begingroup$
I’m not sure if there’s a symbol for linear dependence (but there may well be one), but to show it you can write $vec{A}=kvec{B}$ for some (scalar) constant $k$
$endgroup$
– aidangallagher4
Oct 18 '17 at 14:21




1




1




$begingroup$
Generally the word parallel is used for vectors pointing in the same direction, and anti-parallel is used for vectors which are pointing in opposite directions.
$endgroup$
– Alex
Oct 18 '17 at 14:22




$begingroup$
Generally the word parallel is used for vectors pointing in the same direction, and anti-parallel is used for vectors which are pointing in opposite directions.
$endgroup$
– Alex
Oct 18 '17 at 14:22




1




1




$begingroup$
Perhaps he means one vector is a nonnegative scalar multiple of the other. That is: the case of equality for the triangle inequality.
$endgroup$
– GEdgar
Oct 18 '17 at 14:38




$begingroup$
Perhaps he means one vector is a nonnegative scalar multiple of the other. That is: the case of equality for the triangle inequality.
$endgroup$
– GEdgar
Oct 18 '17 at 14:38












$begingroup$
@aidangallagher4 yeah that's what I ended up using, I was just wondering if there was a better symbol for it.
$endgroup$
– Bhaskar
Oct 19 '17 at 2:40




$begingroup$
@aidangallagher4 yeah that's what I ended up using, I was just wondering if there was a better symbol for it.
$endgroup$
– Bhaskar
Oct 19 '17 at 2:40










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Not sure if this is considered necrobumping, but my higher level calculus professors in university always used // to notate this. I don't see it anywhere else in the math realm, however.






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    $begingroup$

    Not sure if this is considered necrobumping, but my higher level calculus professors in university always used // to notate this. I don't see it anywhere else in the math realm, however.






    share|cite|improve this answer









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      0












      $begingroup$

      Not sure if this is considered necrobumping, but my higher level calculus professors in university always used // to notate this. I don't see it anywhere else in the math realm, however.






      share|cite|improve this answer









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        $begingroup$

        Not sure if this is considered necrobumping, but my higher level calculus professors in university always used // to notate this. I don't see it anywhere else in the math realm, however.






        share|cite|improve this answer









        $endgroup$



        Not sure if this is considered necrobumping, but my higher level calculus professors in university always used // to notate this. I don't see it anywhere else in the math realm, however.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Feb 1 at 9:46









        GrantGrant

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