Question

P is a point on the line segment joining the points A(3,2,-1) and B(6,2, -2). If x co-ordinate of P is 5, then what is its y co-ordinate?
.
.
.
Class 12 : 3D Geometry

Answer 1

Answer:

The z-coordinate will be -1.67.

Step-by-step explanation:

It is cleared from the given coordinates of the two points that they lies on the plane y = 2.

So, we can consider the equation of line as the variable of x and z.

The line passing through (3, -1) and (6, -2) can be written as $y+1= (\frac{-1+2}{3-6} )(x-3)\\y+1=\frac{3-x}{3} \\3y+3=3-x\\3y+x=0$.

If x=5 then y = -1.67.

Answer 2

Answer:

step 1 6m+3n/m+n =5

m:n =2:1

2m+2n ÷ m+n

put m:n =2/1

simplfy then

y=2