Monday

October 20, 2014

October 20, 2014

Posted by **abhi** on Tuesday, December 18, 2012 at 4:17pm.

- maths -
**Jennifer**, Wednesday, December 19, 2012 at 8:04pmLet the new point be (x1, y1, z1)

Then, using the distance formula:

((x1-1)^2 + (y1-3)^2 + (z1-3)^2)^0.5 = 5

(x1-1)^2 + (y1-3)^2 + (z1-3)^2 = 25

Put all units in terms of one variable. I'm choosing x1 first:

x1+2/3 = y1+1/2; y1 = x1 + 2/3 - 1/2

= x1 + 1/6

x1 + 2/3 = z1-3/2; z1 = x1 + 2/3 + 3/2 = x1 + 4/6 + 9/6 = x1 + 13/6

(x1-1)^2 + (x1+1/6-3)^2 + (x1+13/6-3)^2 = 25

Multiply this out; solve for x1; then plug these back into the other equations to solve for y1 and z1

**Answer this Question**

**Related Questions**

Maths - Find the equation of the locus of the point P(x,y) which moves so that ...

heeeeeelp maths - An ant is walking along the cartesian plane. It starts at the ...

geometry - a point F is at a certain distance from a line AB .Another point P is...

Physics - The drawing shows four point charges. The value of q is 2.4 µC, and ...

calculus - Consider line segments which are tangent to a point on the right half...

math - A straight line AB of length 10 units is free to move with its ends on ...

add maths - A point moves such that its distance from point A(1,0) is twice its ...

math - line xy is translated 3 units to the left. if a point on line xy is ...

geometry - A point is moving in a plane in such a way that its distance from the...

Math - How do you: Find the shortest distance, to two decimal places from the ...