Equation of vector pass thru point

[kelvin macks]

Homework Statement

can someone draw me a better diagram for part c and d ? i can't understand the diagram given . This is the suggested ans form my book

Homework Equations

The Attempt at a Solution

 

[ehild]

Homework Statement

can someone draw me a better diagram for part c and d ? i can't understand the diagram given . This is the suggested ans form my book

Here you are. A is outside both planes. P is point of the intersection line l

ehild

 

[kelvin macks]

how do u know that point a is located outside? why point a can't be on the plane?

 

[ehild]

Plug in the coordinates of A into the equations of both planes. Does it fit?

ehild

 

[kelvin macks]

ya , the ans is correct . why? i can't understand

 

[ehild]

A: x=1, y=0, z=1. A is in the plane π1 if its coordinates fulfil the equation of the plane.

Plane π1: x-y+2z=1. Plugging in he coordinates of A: 1-0+2 =3≠1
Plane π2: 2x+y-z=0. Plugging in he coordinates of A: 2-1=1≠0

A is not point of any of the planes.

ehild