Friday

March 27, 2015

March 27, 2015

Posted by **J** on Monday, May 7, 2012 at 8:28pm.

- Calculus -
**Reiny**, Monday, May 7, 2012 at 9:06pmWe need the direction of their line of intersection....

double the 2nd plane equation, then add that to the 1st

x+2y-3z = -6

6x - 2y + 4z = 8

7x + z = 2

z = 2-7x

let x=1

then z = -5

back in the 1st

1 + 2y + 15 = -6

y = -11 -----------> point (1,-11,-5)

let x = 0

then z = 2

back in 1st

0+2y -6 = -6

y = 0 ------------> point (0,0,2)

direction vector of line of intersection of the planes = (1, -11, -7)

**so one such vector equation is**

r = (2,-1,7) + t(1,-11,-7)

(the question should have said, "Find a vector equation...."

since the answer I obtained is not unique)

- Calculus -
**J**, Monday, May 7, 2012 at 11:31pmWe need the direction of their line of intersection? That's all the question mentioned... so is that still the correct answer? :/

**Answer this Question**

**Related Questions**

Calculus - Find the vector equation of the line that passes through the point (2...

Calculus - Consider the planes given by the equations 2y−2x−z=2 x&#...

precalc - I;m not sure if i am doing this right...I keep getting a negative ...

Calculus Grade 12 - Find the equation of the plane that passes through the point...

Calculus - Use normal vectors to determine the intersection, if any, for each of...

Math - Intersection of planes - Find the vector equation of the line of ...

MAT221 - consider the line 8x-5y=-4 find the equation of the line that is ...

math - a vector parallel to the line of intersection of the planes. x-2y-z=6 and...

vectors - 3 planes; $: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the ...

Vectors - 3 planes; $: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the ...