Vectors and Cross Product

[nbahan]

I have a question in which it asks the following:

Determine the real number x such that U x V and i are orthogonal, where u = 3i+j-5k and v = 4i-2j+xk.

I'm confused as to what 'i' represents here. Finding U x V, such that they are orthogonal is simple enough. I just don't understand how 'i' fits in here.

Any guidance would be appreciated.

 

[Deleted member 4993]

I have a question in which it asks the following:

Determine the real number x such that U x V and i are orthogonal, where u = 3i+j-5k and v = 4i-2j+xk.

I'm confused as to what 'i' represents here. Finding U x V, such that they are orthogonal is simple enough. I just don't understand how 'i' fits in here.

Any guidance would be appreciated.

In Cartesian system,

'i', 'j' & 'k' are defined as the orthogonal unit vectors along 'x'. 'y' and 'z' axes - by convention.

 

[pka]

I have a question in which it asks the following:
Determine the real number x such that U x V and i are orthogonal, where u = 3i+j-5k and v = 4i-2j+xk.
I'm confused as to what 'i' represents here. Finding U x V, such that they are orthogonal is simple enough. I just don't understand how 'i' fits in here.

The [imath]\bf \mathcal{i,~j.~\&~k}[/imath] are the three basis elements [imath]<1,0,0>,~<0,1,0>~\&~<0,0,1>[/imath]
That is they are a ortho-normal set of vectors.
[imath][/imath][imath][/imath][imath][/imath]

 

[Deleted member 4993]

Please do not post complete answer - before 4 days.