Vaguely defined vector related question

  • Thread starter Thread starter FermatPell
  • Start date Start date
  • Tags Tags
    Vector
AI Thread Summary
Vectors can be perpendicular through different representations, such as using the cross product or by illustrating their components in a three-dimensional space. The cross product of two vectors, like i and j resulting in k, exemplifies this relationship. There is some confusion regarding the specific types of vectors being referenced and whether the question is clearly defined. Participants express uncertainty about demonstrating the concept effectively. Clarifying the question's intent could enhance understanding and responses.
FermatPell
Messages
21
Reaction score
0

Homework Statement



Vectors can be perpendicular in two ways. Show them!


Homework Equations



none

The Attempt at a Solution



I know a lot about vectors, but I'm just not sure what I'm supposed to do. Maybe demonstrate that cross product is anti-commutative?
 
Physics news on Phys.org
Maybe just a picture of a vector with i, j, and k (x,y,z) components, each component of which is mutually perpendicular to the others? The cross product i X j = k is a good one.
 
Hi FermatPell! :smile:
FermatPell said:
Vectors can be perpendicular in two ways. Show them!

I can't think of two ways … perpendicular is perpendicular. :confused:

What type of vectors are they talking about?

(and is that the exact question?)​
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top