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Vectors help please

Can some1 check my answer please

Describe the intersection between the between the line M: (x-6)/3 = (y-3)/-1 = (z-3)/-2

An the plane Q: x-2y+z+6

My final steps were 3u +3 +d=0

3u+3= -(-6+6-3)

3u =0

u= 0

so Q and M do not intersect or the equation holds for every value of u in which case every point of M lies on Q.
Reply 1
Original post by Vorsah

An the plane Q: x-2y+z+6


Where is the = ?
Reply 2
Original post by BabyMaths
Where is the = ?


=0
Reply 3
Also can some1 check this:

Find the equation of the plane joining the point x=(0,4,1) y=(1,-2,2) z=(-3,1,-1)

I got 9x-5y+21z+41=0
Reply 4
Original post by Vorsah
Also can some1 check this:

Find the equation of the plane joining the point x=(0,4,1) y=(1,-2,2) z=(-3,1,-1)

I got 9x-5y+21z+41=0


sub each of the 3 points into the above equation and see if it balances ...

It is quicker than typing the question!
Reply 5
is post no1 right then?
Reply 6
can some1 check this answer please

Q) L= (x-1)=(y-2)=(z-1)/2

M= (x-6)/3 = (y-3)/-1 = (z-3)/-2

find the equation of the plane containing the lines L and M.

first I found the point of intersection of the 2 lines to be (3,4,5).

then I found the equation of the plane to be: 8y-4z-8=0
Reply 7
can some1 also check this

find the distance between the point X=(0,4,1) and the plane P= 3x+y-z-2=0

I got 1/(sqrt11)
Reply 8
Original post by Vorsah
can some1 check this answer please

Q) L= (x-1)=(y-2)=(z-1)/2

M= (x-6)/3 = (y-3)/-1 = (z-3)/-2

find the equation of the plane containing the lines L and M.

first I found the point of intersection of the 2 lines to be (3,4,5).

then I found the equation of the plane to be: 8y-4z-8=0


Does your point (3,4,5) satisfy 8y-4z-8=0?

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