# Thread: Geometrical Representation

1. ## Geometrical Representation

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?
Also, does the 'x' mean multiplication or cross product?

2. Originally Posted by Sabita
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?
Also, does the 'x' mean multiplication or cross product?
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

3. Originally Posted by Sabita
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?
Also, does the 'x' mean multiplication or cross product?

Under what chapter is this question given?

4. Hi
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.

5. 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?

I dont understand this at all!!!
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.