Finding equation of tangent of a vector












1












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hi guys and thanks in advance. I encounter this problem 21 and i couldnt solve it. my answer is so wrong.can anyone guide me on this?![This is the question sheet



This is my attempt










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  • 1




    $begingroup$
    To get $(1,1,0)$ you must compute $mathbf{r}(1)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:24








  • 1




    $begingroup$
    Your derivative and unit vector are Ok.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:26










  • $begingroup$
    hi hector and thanks for your help, my i know why do i need to do r(1) and isit apply for all question?
    $endgroup$
    – josh
    Feb 2 at 16:41








  • 1




    $begingroup$
    Is not always $t=0$ or $t=1$. The value of $t$ to have the given point $P$ depends on whats tour formula for $mathbf{r}(t)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 16:45






  • 1




    $begingroup$
    In the future, please take the time to enter your question and relevant context as text instead of pasting pictures of it. Images are neither searchable nor accessible to screen readers, nor do they show up in summaries. (Your question is basically blank in a summary.) You can find a quick reference for using MathJax to format mathematical expressions here.
    $endgroup$
    – amd
    Feb 2 at 23:56
















1












$begingroup$


hi guys and thanks in advance. I encounter this problem 21 and i couldnt solve it. my answer is so wrong.can anyone guide me on this?![This is the question sheet



This is my attempt










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    To get $(1,1,0)$ you must compute $mathbf{r}(1)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:24








  • 1




    $begingroup$
    Your derivative and unit vector are Ok.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:26










  • $begingroup$
    hi hector and thanks for your help, my i know why do i need to do r(1) and isit apply for all question?
    $endgroup$
    – josh
    Feb 2 at 16:41








  • 1




    $begingroup$
    Is not always $t=0$ or $t=1$. The value of $t$ to have the given point $P$ depends on whats tour formula for $mathbf{r}(t)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 16:45






  • 1




    $begingroup$
    In the future, please take the time to enter your question and relevant context as text instead of pasting pictures of it. Images are neither searchable nor accessible to screen readers, nor do they show up in summaries. (Your question is basically blank in a summary.) You can find a quick reference for using MathJax to format mathematical expressions here.
    $endgroup$
    – amd
    Feb 2 at 23:56














1












1








1


1



$begingroup$


hi guys and thanks in advance. I encounter this problem 21 and i couldnt solve it. my answer is so wrong.can anyone guide me on this?![This is the question sheet



This is my attempt










share|cite|improve this question









$endgroup$




hi guys and thanks in advance. I encounter this problem 21 and i couldnt solve it. my answer is so wrong.can anyone guide me on this?![This is the question sheet



This is my attempt







vector-spaces tangent-spaces






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Feb 2 at 15:17









joshjosh

177




177








  • 1




    $begingroup$
    To get $(1,1,0)$ you must compute $mathbf{r}(1)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:24








  • 1




    $begingroup$
    Your derivative and unit vector are Ok.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:26










  • $begingroup$
    hi hector and thanks for your help, my i know why do i need to do r(1) and isit apply for all question?
    $endgroup$
    – josh
    Feb 2 at 16:41








  • 1




    $begingroup$
    Is not always $t=0$ or $t=1$. The value of $t$ to have the given point $P$ depends on whats tour formula for $mathbf{r}(t)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 16:45






  • 1




    $begingroup$
    In the future, please take the time to enter your question and relevant context as text instead of pasting pictures of it. Images are neither searchable nor accessible to screen readers, nor do they show up in summaries. (Your question is basically blank in a summary.) You can find a quick reference for using MathJax to format mathematical expressions here.
    $endgroup$
    – amd
    Feb 2 at 23:56














  • 1




    $begingroup$
    To get $(1,1,0)$ you must compute $mathbf{r}(1)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:24








  • 1




    $begingroup$
    Your derivative and unit vector are Ok.
    $endgroup$
    – Hector Blandin
    Feb 2 at 15:26










  • $begingroup$
    hi hector and thanks for your help, my i know why do i need to do r(1) and isit apply for all question?
    $endgroup$
    – josh
    Feb 2 at 16:41








  • 1




    $begingroup$
    Is not always $t=0$ or $t=1$. The value of $t$ to have the given point $P$ depends on whats tour formula for $mathbf{r}(t)$.
    $endgroup$
    – Hector Blandin
    Feb 2 at 16:45






  • 1




    $begingroup$
    In the future, please take the time to enter your question and relevant context as text instead of pasting pictures of it. Images are neither searchable nor accessible to screen readers, nor do they show up in summaries. (Your question is basically blank in a summary.) You can find a quick reference for using MathJax to format mathematical expressions here.
    $endgroup$
    – amd
    Feb 2 at 23:56








1




1




$begingroup$
To get $(1,1,0)$ you must compute $mathbf{r}(1)$.
$endgroup$
– Hector Blandin
Feb 2 at 15:24






$begingroup$
To get $(1,1,0)$ you must compute $mathbf{r}(1)$.
$endgroup$
– Hector Blandin
Feb 2 at 15:24






1




1




$begingroup$
Your derivative and unit vector are Ok.
$endgroup$
– Hector Blandin
Feb 2 at 15:26




$begingroup$
Your derivative and unit vector are Ok.
$endgroup$
– Hector Blandin
Feb 2 at 15:26












$begingroup$
hi hector and thanks for your help, my i know why do i need to do r(1) and isit apply for all question?
$endgroup$
– josh
Feb 2 at 16:41






$begingroup$
hi hector and thanks for your help, my i know why do i need to do r(1) and isit apply for all question?
$endgroup$
– josh
Feb 2 at 16:41






1




1




$begingroup$
Is not always $t=0$ or $t=1$. The value of $t$ to have the given point $P$ depends on whats tour formula for $mathbf{r}(t)$.
$endgroup$
– Hector Blandin
Feb 2 at 16:45




$begingroup$
Is not always $t=0$ or $t=1$. The value of $t$ to have the given point $P$ depends on whats tour formula for $mathbf{r}(t)$.
$endgroup$
– Hector Blandin
Feb 2 at 16:45




1




1




$begingroup$
In the future, please take the time to enter your question and relevant context as text instead of pasting pictures of it. Images are neither searchable nor accessible to screen readers, nor do they show up in summaries. (Your question is basically blank in a summary.) You can find a quick reference for using MathJax to format mathematical expressions here.
$endgroup$
– amd
Feb 2 at 23:56




$begingroup$
In the future, please take the time to enter your question and relevant context as text instead of pasting pictures of it. Images are neither searchable nor accessible to screen readers, nor do they show up in summaries. (Your question is basically blank in a summary.) You can find a quick reference for using MathJax to format mathematical expressions here.
$endgroup$
– amd
Feb 2 at 23:56










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