Posted by **Baljinder** on Monday, June 10, 2013 at 5:12pm.

Find the value of k so that the line [x,y,z] = [2,-2,0]+ t[2,k,-3] is parallel to the plane kx +2y - 4z= 12

- Calculus grade 12 lines and planes -
**Reiny**, Monday, June 10, 2013 at 8:10pm
a normal to kx + 2y - 4z = 12 is (k,2,-4)

direction of the given line is (2, k, -3)

if the line is parallel to the plane, it must be perpendicular to the normal

that is,

their dot product = 0

(k,2,-4)o(2,k,-3) = 0

2k + 2k + 12 = 0

4k = -12

k = -3

- Calculus grade 12 lines and planes -
**Baljinder**, Monday, June 10, 2013 at 9:36pm
Thank you!!

- Calculus grade 12 lines and planes -
**nykyia**, Wednesday, June 12, 2013 at 2:44am
yes

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