just came across a question that sort of confused me since I haven't really seen anything like it before. Anyway here it is.
"Given that a = 2sinθi + ( 1-sinθ )j, find the value of the acute angle θ, so that a is perpendicular to the line x+y=1."
I have tried a few approaches but none of the seem to work, its probably not too difficult once you get it, but would like some help if anyone has some time to spare.
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A vector perpendicular to a circle watch
- Thread Starter
- 15-01-2010 19:04
- 15-01-2010 19:41
The given line can be written as y=1-x so a line perpendicular to this would have gradient (-1)/(-1)=1. Therefore, you want a to be parallel to the y=x line. For this to be the case, you would have 2sin=1-sinθ, which you can then solve for theta.