Geometrical Representation

• May 21st 2008, 03:00 AM
Sabita
Geometrical Representation
Hi,(Hi)

How do I represent {5,7,3} x [1,2] geometrically?
I know to represent the cross product of 2 vectors. But , here, I am not sure , since the brackets used for both are different . Does it mean that {5,7,3} is a set/vector and [1,2] is a matrix?(Thinking)
Also, does the 'x' mean multiplication or cross product?(Worried)
• May 21st 2008, 04:30 AM
topsquark
Quote:

Originally Posted by Sabita
Hi,(Hi)

How do I represent {5,7,3} x [1,2] geometrically?
I know to represent the cross product of 2 vectors. But , here, I am not sure , since the brackets used for both are different . Does it mean that {5,7,3} is a set/vector and [1,2] is a matrix?(Thinking)
Also, does the 'x' mean multiplication or cross product?(Worried)

I suspect that {5, 7, 3} is a set and [1, 2] is an interval on the real line. So this "multiplication" would be the set of all ordered pairs of the form $\{(5, x), (7, y), (3, z)|x, y, z \in [1, 2] \}$.

Can you think of a way to interpret that geometrically?

-Dan
• May 21st 2008, 04:45 AM
Isomorphism
Quote:

Originally Posted by Sabita
Hi,(Hi)

How do I represent {5,7,3} x [1,2] geometrically?
I know to represent the cross product of 2 vectors. But , here, I am not sure , since the brackets used for both are different . Does it mean that {5,7,3} is a set/vector and [1,2] is a matrix?(Thinking)
Also, does the 'x' mean multiplication or cross product?(Worried)

Under what chapter is this question given?
• May 21st 2008, 09:22 PM
Sabita
Hi(Speechless)
Thanks for the replies.
What would be the values of x,y,z?
The question is taken from a list of miscellaneous problems from linear Algebra and Elementary Algebra.
• May 23rd 2008, 09:42 PM
Sabita
How do I know which values between that interval I can take as x,y,z?
What if I take x=3/2 , y=1, z=1?
Would it be right?
For the next set of values can I take x=1,y=1 ,z=3/2?
(Wondering)
I dont understand this at all!!!(Headbang)
All I know is that (for eg) {5,7,3} x {1,2} ={(5,1),(5,2),(7,1),(7,2),(3,1),(3,2)}
If I plot all these points on a graph ,I would get a 3 sets of lines.(Doh)