Hi All!
I have this nagging problem that I've been at it for a long time. I have attached a scanned sheet with the question. I really hope someone can help me out or atleast push me in the right direction.
Thanks a bunch in advance!
Akshay
Hi All!
I have this nagging problem that I've been at it for a long time. I have attached a scanned sheet with the question. I really hope someone can help me out or atleast push me in the right direction.
Thanks a bunch in advance!
Akshay
One difficulty is that it is only the point E that is height "l" above B. D, for example, cannot be height "l" above A without "warping" the plane. But we can calculate the angle. By the Pythagorean theorem, the distance from O to B is so the angle between plane 0ABC and plane ODEF (and so both all three , , and ) are .
Hello bollsakkie
Welcome to Math Help Forum! I'm still thinking about the rest of the question, but here's a start.
The attached diagram shows the vertical plane containing the line . It is in this plane that the -axis - and therefore also the line - is rotated through an angle about . Note that , the new position of the point , is not vertically above , but above a point lying on . .
Now
So
As far as the unit vector along is concerned, its component is clearly .
For the and components, consider the unit vector along : it is . Then multiply this by for the component of the unit vector of along the line .
So I reckon the unit vector along is
Grandad