Grade 12 Vectors . Find a point P on the line L situated 19√2 units distance from plane W.?

Find a point P on the line L situated 19√2 units distance from plane W.

W = 5x + 3y - 4z = 18

L = (x-1)/2 = (y+2)/-1 = z/-3

Please help me. How do I do this? Thank you so much

Question

Grade 12 Vectors . Find a point P on the line L situated 19√2 units distance from plane W.?

Find a point P on the line L situated 19√2 units distance from plane W.

W = 5x + 3y - 4z = 18

L = (x-1)/2 = (y+2)/-1 = z/-3


Please help me. How do I do this? Thank you so much

amistre64 · Answer

find the point on the plane that the xyz of the line fits

pottersheep · Answer

For paramatric equation of the line I got

X = 1+2t
Y = -2 –t
Z = -3t

amistre64 · Answer

the normal of the plane is <5,3,-4>

a line with that normal is

X =   1+5t
Y = -2 +3t
Z =   0 -4t

would you agree?

pottersheep · Answer

yes

amistre64 · Answer

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