Perpendicular

Everything is nice and fine and perpendicular.

Construct a line perpendicular to this line

Construct a perpendicular line through this point

Select a line perpendicular to the new line...

Even the ossified, petrified, horizontal, perpendicular presbyterians are against me!

It makes sure we're multiplying the components of the vectors that are perpendicular to each other to get a third vector that is perpendicular to both of them.

A line constructed through a point, perpendicular to another line or segment.

It's going to be perpendicular to a, and it's going to go that far, right?

You could say, well, b sine theta is the component of b that is perpendicular to a.

So a sine theta is the magnitude of the component of vector a that is perpendicular to b.

If that's a, that's b, the component of b that is perpendicular to a is going to look like this.

And we still know that that vector n has to be perpendicular to both a and b, and now we have to figure out, well, is it, in being perpendicular, it can either kind of point into the page here or it could pop out of the page, or point out of the page.

The original intention of this space, which was unfortunately never realized, was to use lenticular glass which allowed only a kind of perpendicular view out.

So b has some component of it that is perpendicular to a, and that is going to look something like well, I've run out of space.

What I did because of the Paris skies being quite dull, I made a light grid that's perpendicular to the train station, to the route of the train.

It will monitor energetic X rays from solar flares and survey the sky with X ray charge coupled device (CCD) sensors along an axis perpendicular to the Sun line.

And then the people who invented the cross product said, well, it's still ambiguous because it doesn't tell us there's always two vectors that are perpendicular to these two.

Assessments for the meteor rate during meteor storms are gained from radar measurements where the antenna points perpendicular to the expected meteor stream (beam park mode of operation with compensation of the Earth rotation).

Each bag shall have an impact resistance of at least 165 g and a tear resistance of at least 480 g in both parallel and perpendicular planes with respect to the length of the bag.

They'll say, OK, well, we're just going to say a convention that you use your right hand, point it like a gun, make all your fingers perpendicular, and then you know what direction that vector points in.

So you're feeling the wind and this tremendous wind now that you're going to be feeling and you want to go perpendicular to the wind or downwind, if you are in fact able to see where the blast was in front of you.

This is especially important well, we'll use it in torque and we'll also use it in magnetic fields, but it's important in both of those applications to figure out the components of the vector that are perpendicular to either a force or a radius in question.

We're used to taking a vector and splitting it up into x and y components, but now we're taking a vector a, and we're splitting it up into you can think of it as a component that's parallel to vector b and a component that is perpendicular to vector b.

So that's why this cross product has the sine theta because we're taking so in this, if you view it as magnitude of a sine theta times b, this is kind of saying this is the magnitude of the component of a perpendicular to b, or you could interpret it the other way.

So when you're taking the cross product of two numbers, you're saying, well, I don't care about the entire magnitude of vector a in this example, I care about the magnitude of vector a that is perpendicular to vector b, and those are the two numbers that I want to multiply and then give it that direction as specified by the right hand rule.