Question

Help 10 iii) pleaseee http://onlineexamhelp.com/wp-content/uploads/2013/11/9709_s12_qp_32.pdf

Answer 1

assuming the point P = \[{x}_{1}i + {y}_{1}j + {z}_{1}k\] on the line l, implies you get two independent equations in terms of \[{x}_{1}\] \[{y}_{1}\] \[{z}_{1}\] by equating the corresponding terms of i, j and k
using the hint in the question, by equating the distance of the point P from the planes m and n, we get two equations (say 1 and 2) due to the modulus function
by using the first two equations with equation 1 once and with equation 2 once we get two different points and then the distance between them can be found out.
I suppose this is the solution, do correct me if i am wrong

Answer 2

@phi help please?!

Answer 3

How far did you get ?

Answer 4

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Answer 5

I am thinking that line L is parallel to plane m, so all points on line L are equidistant from the plane m. I would first find this distance. Can you ?

Answer 6

that is the solution for i and ii

Answer 7

like phi said the points from l are all equidistant from plane m, so all we gotta do is vary lamba such that this distance is seen away from the plane n

Answer 8

For example, choose point (1,1,-1) which is on the line L
use the formula to find the distance to plane m. Can you do that ?

Answer 9

I've figured out i and ii alrd. Thanks anyways.
Could you pls draw the diagram foh me?

Answer 10

okay