Vectors Parallel and Perpendicular

[chodge17]

Homework Statement

Let vector v=<1,-2, 6> and vector w=<30,-11, -2>. Represent vector w in the form of

w=g+h, where g is parallel to v and h is perpendicular to v. Using the dot product

Homework Equations

The Attempt at a Solution

I don't even know where to begin. I think you maybe do v*w first but I don't know.

 

[micromass]

Do you know the general form of vectors parallel to v? Do you know the general form of vectors perpendicular to v?

 

[chodge17]

In most cases, yes. But in this instant, I don't know where to begin. What throws me off is the w=g+h. I know what the question is asking I just don't know how it is asking it. The question is wanting me to find vector g< , , , > and vector h< , , , >

 

[micromass]

Can you give me a vector perpendicular to v?