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#### GreenGoblin

##### Member

- Feb 22, 2012

- 68

I am assigned the following problem,

"Solve the simultaneous vector eqs. for r:

[TEX]r \times a = b, r \centerdot c = \alpha[/TEX]

given that [TEX]a \centerdot b = 0[/TEX] and [TEX]a \neq 0[/TEX]

Distinguish between [TEX]a \centerdot c[/TEX] equal 0 and not equal 0, and give geometrical interpretation on this."

OK then. First problem.. is it not obvious [TEX]a \centerdot b = 0[/TEX]? Since b is the cross-product of r and a. We know already that a and b are perpendicular.

SO. Main problem.. I don't know what I am actually looking to solve here. Should I be aiming to isolate r as a function of these assorted other things? IS that the form of the solution required?

AS WELL. What does distinguish mean in a mathematical context? How can I, in a formal manner, 'distinguish' something?

Gracias,

Green Goblin

TESTTESTTESTTESTTESTTESTTESTTESTTESTTEST

"Solve the simultaneous vector eqs. for r:

[TEX]r \times a = b, r \centerdot c = \alpha[/TEX]

given that [TEX]a \centerdot b = 0[/TEX] and [TEX]a \neq 0[/TEX]

Distinguish between [TEX]a \centerdot c[/TEX] equal 0 and not equal 0, and give geometrical interpretation on this."

OK then. First problem.. is it not obvious [TEX]a \centerdot b = 0[/TEX]? Since b is the cross-product of r and a. We know already that a and b are perpendicular.

SO. Main problem.. I don't know what I am actually looking to solve here. Should I be aiming to isolate r as a function of these assorted other things? IS that the form of the solution required?

AS WELL. What does distinguish mean in a mathematical context? How can I, in a formal manner, 'distinguish' something?

Gracias,

Green Goblin

TESTTESTTESTTESTTESTTESTTESTTESTTESTTEST

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