This isn't homework, but I would like to know how to get the answer (which I already have). We cannot use (or need to use) calculators for these questions.
The question: (we're working on Dot and Cross Products right now)
Determine the cosine of the angle formed by the two vectors (-2, 1), (5, 2)
I believe I missed the part where the explanation on how to do this was.
Afaik, the equation I have, is the correct one, but I may be wrong.
cos(theda) = U dot V / (||U||)(||V||)
My Calculations:
U dot V = -8
||U|| (length of U) = SquareRoot(5)
||V|| (length of V) = SquareRoot(29)
Therefore: Cos(theda) = -8 / (SQRT(5) x SQRT(29))
The correct answer is: SQRT(17)
I hope this makes some sense, but I need some help.
The question: (we're working on Dot and Cross Products right now)
Determine the cosine of the angle formed by the two vectors (-2, 1), (5, 2)
I believe I missed the part where the explanation on how to do this was.
Afaik, the equation I have, is the correct one, but I may be wrong.
cos(theda) = U dot V / (||U||)(||V||)
My Calculations:
U dot V = -8
||U|| (length of U) = SquareRoot(5)
||V|| (length of V) = SquareRoot(29)
Therefore: Cos(theda) = -8 / (SQRT(5) x SQRT(29))
The correct answer is: SQRT(17)
I hope this makes some sense, but I need some help.