Sunday

April 20, 2014

April 20, 2014

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? :/

**Related Questions**

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

calculus - find a vector equation of the line, which passes through the point (...

Precalc - A line in space has the vector equation shown here. Fill in the blanks...

Calculus 3 - Let L be the line that passes through the points (0,1,6) and (0,3,2...

Calculus 3 - Let L be the line that passes through the points (0,1,6) and (0,3,2...

mat 101 - Equation for a line that passes through (6,26) and has a slope of 3 ...

Calculus 3 - Find the equation of the plane that passes through (1,0,0) and is ...

Math 101 - Find the equation for each of the following items below: a. A line ...

Calculus Please someone help - 1. Find the slope m and an equation of the ...

vectors - find the vector form of the equation of the line in lR^3 that passes ...