Parallel and Perpendicular Vectors

To find parallel vector, divide by norm.

Perpendicular vectors: dot product equals 0

That is what I know about parallel and perpendicular vectors. Can someone make a quick sample problem to apply these principles? (I know what norm and dot product are)

Re: Parallel and Perpendicular Vectors

You can find a [b]unit[b] vector (norm= 1) parallel to a given vector by dividing by the norm. Multiplying a given vector by **any** number will give a parallel vector. Yes, two vectors are perpendicular if and only if their dot product is 0.

Okay: find a **unit** vector parallel to the vector 2i+ 3j- 4k. Find a vector parallel to 2i+ 3j- 4k that has length twice as long!

Relatively easy problem, find a vector, in the xy-plane, perpendicular to 3i+ 4j. Slightly harder, find a vector perpendicular to 4i- 3j+ 2k.

Re: Parallel and Perpendicular Vectors

Thank you. Had to revisit what you told me :)