1. A line has direction angles 60, 45, 60 and passes through the point (-2,1,3). Determine the symmetric equations of the line.
For this one I know that the angles given are the direction angles, but Im not sure what to do with them, any help would be much appreciated.
2. Find the equation of a plane, every point of which is equidistant from the points A(1,1,0) and B(5,3,-2).
I've thought about this one, and I just can't wrap my head around it, would I just use a variable or something to represent the equidistance? A bit of guidance would be awesome.
Thanks so much for your time and any help you can give me
I'm not certain if I understood this problem correctly:
1. I assume that the angles are between the components of the direction vector of the straight line and the coordinate axes:
Then the components are:
2. You know the coordinates of one point and the direction of the straight line, therefore you can detrmine the equation of the line:
3. I don't know what a symmetric equation could be
4. I'm sure that the writing is not the way as you've learned it. In Germany the equation of the line would be written like this: