- #1
jt16733
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Hi
I'm having problems understanding vector representation in the form Ax=B could someone please point me in the right direction
A vector equation for a given straight line is r = (i + 3j) + t(-i-j).
i) Show that the point (1,2) does not lie on this line.
ii) Construct a vector equation for the line that does go through the point (1;2), and is
perpendicular to r.
iii) Determine the point of intersection of the two lines.
For i) i have set up parametric equations
(x)=(1-t)
(y)=(3-t)
and substituted in x=1 and y=2
t is not the same, therefore it does not lie on the line.
For part ii) I have no idea on how to start I tried substituting t as 1 and then 2 which was wrong.
I know that the dot product of two orthogonal vectors is 0
Thanks
I'm having problems understanding vector representation in the form Ax=B could someone please point me in the right direction
A vector equation for a given straight line is r = (i + 3j) + t(-i-j).
i) Show that the point (1,2) does not lie on this line.
ii) Construct a vector equation for the line that does go through the point (1;2), and is
perpendicular to r.
iii) Determine the point of intersection of the two lines.
For i) i have set up parametric equations
(x)=(1-t)
(y)=(3-t)
and substituted in x=1 and y=2
t is not the same, therefore it does not lie on the line.
For part ii) I have no idea on how to start I tried substituting t as 1 and then 2 which was wrong.
I know that the dot product of two orthogonal vectors is 0
Thanks