Posted by **Jake** on Sunday, April 8, 2012 at 3:34am.

Which plane goes through the origin and is perpendicular to the line r=(2,-2,1) + s(2,3,-4), seR?

a) 2x-2y+z=0

b) 2x+3y-4z=0

c) 2x+3y+z-4=0

d) none of the above.

I got D, none of the above. I have substituted and couldn't find the answer equal to zero.

- Calculus -
**Reiny**, Sunday, April 8, 2012 at 7:55am
1.

The line has direction numbers (2,3,-4)

The direction numbers of the normal of plane b)

are (2,3, -4)

Since the normal is perpendicular to the plane

the given line is perpendicular to the plane

2.

Does (0,0,0 satisfy the equation of plane b) ?

LS = 2(0) + 3(0) - 4(0) = 0

RS = 0 , so YES, it does

your correct answer is b)

## Answer this Question

## Related Questions

- Calculus - Verify if correct. Determine which line is parallel to the line with ...
- Calculus - Find the equation of the line that passes through (1,3) and is ...
- Calculus - Determine the equation of the line through the origin and the point P...
- math - In the xy-plane, line l passes through the origin and is perpendicular ...
- Graphing interpretation - What would it mean if the line of a linear regression ...
- Physics Check - 1.)The making of the nuclear reactor was an advance in a)Science...
- Physical Education - Your body can get antibodies from? A. Immunizations. B. ...
- math help please - Determine which function has the greater rate of change in ...
- MATHHHHHHHHHHHHH - Determine which function has the greater rate of change in ...
- Health help please!!! - Your body can get antibodies from A. immunizations B. ...