Perpendicular components of the perpendicular plane

AI Thread Summary
The discussion focuses on the cross product of two acceleration vectors, specifically how it yields the perpendicular components of each vector. The formula for the cross product is provided, demonstrating how to calculate the components in three-dimensional space. The conversation raises a question about the implications of setting the cross product equal to an angle in the perpendicular plane of one of the vectors. However, some participants express confusion regarding the terminology used, particularly the concept of a "perpendicular plane" and its relation to the vectors involved. Overall, the thread highlights the mathematical relationships of acceleration vectors while also addressing the need for clearer communication in technical discussions.
Philosophaie
Messages
456
Reaction score
0
What does the the cross product of two acceleration vectors do?

(a cross ar) = 0

where a =axi + ayj + azk and ar = arxi + aryj + arzk

(a cross ar)x = ay*arz - az*ary
(a cross ar)y = az*arx - ax*arz
(a cross ar)z = ax*ary - ay*arx

It gives the perpendicular components of each.

In the perpendicular plane of "ar" what happens if you set the the cross product equal to an angle on that perpendicular plane.

To give you control of which way the "ar" will execute:

(a cross ar) = ap where ap = apxi +apyj + apzk

ap is in the perpendicular plane of ar.
 
Last edited:
Physics news on Phys.org
Philosophaie said:
What does the the cross product of two acceleration vectors do?

(a cross ar) = 0

where a =axi + ayj + azk and ar = arxi + aryj + arzk

(a cross ar)x = ay*arz - az*ary
(a cross ar)y = az*arx - ax*arz
(a cross ar)z = ax*ary - ay*arx

It gives the perpendicular components of each.
In the perpendicular plane of "ar" what happens if you set the the cross product equal to an angle on that perpendicular plane.


To give you control of which way the "ar" will execute:

(a cross ar) = ap where ap = apxi +apyj + apzk

ap is in the perpendicular plane of ar.

What are you doing ? What's r ? Your question is vague and I cannot understand it. What do you mean by perpendicular plane ? Perpendicular to what ? A plane is a plane made of two independent coordinates ! Can you explain what are you doing exactly ?

I think I gave you the reason why no one replied to your thread.
 
Back
Top