- #1

madah12

- 326

- 1

## Homework Statement

The vector -; = Xl + yj + zk, called the position vector,

points from the origin (0. 0, o) to an arbitrary point in space with

coordinates (x, y, z). Use what you know about vectors to prove

the following: All points (x, y, z) that satisfy the equation

Ax + By + Cz = 0, where A, B, and Care constants,lie in a plane

that passes through the origin and that is perpendicular to the vector

Ai + Bj + ck. Sketch this vector and the plane.

## Homework Equations

if A . B = 0 then A is perpendicular to B

## The Attempt at a Solution

I think I first should find an equation for a vector that lies in this plane then if the cross product is zero then it is perpendicular but I don't know anything about linear algebra or 3 dimensional space and this is from a physics text.

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