SOLUTION: Find the angle between u=〈-2,−1〉 and v=〈−1,2〉 to the nearest tenth of a degree.
Algebra.Com
Question 1138912: Find the angle between u=〈-2,−1〉 and v=〈−1,2〉 to the nearest tenth of a degree.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
u=〈-2,−1〉 , v=〈−1,2〉
=/(||u||*||v||) where is scalar product, ||u|| and ||v|| are the lengths of vectors and
Calculate the length of each vector. Picture a right triangle drawn from the vector's x-component, its y-component, and the vector itself. The vector forms the hypotenuse of the triangle, so to find its length we use the Pythagorean theorem. As it turns out, this formula is easily extended to vectors with any number of components.
||u|| =
||u|| =
||u|| =
||u|| =
||v|| =
||u|| =
||u|| =
Calculate the dot product of the two vectors.
Plug your results into the formula.
=/(||u||*||v||)
°
RELATED QUESTIONS
find the angle between the given vectors to the nearest tenth of a degree.... (answered by stanbon)
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, (answered by MathLover1,ikleyn)
Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5,... (answered by math_helper,ikleyn)
Consider the following.
u = i + 3j, v = −3i + j
(a) Find u · v
(b) Find the angle... (answered by MathLover1)
Consider the following.
u = i + 3j, v = −3i + j
(a) Find u · v.
(b) Find the angle... (answered by MathLover1)
Find the angle measure to the nearest tenth of a degree.... (answered by Edwin McCravy)
Find the magnitude and direction angle θ of the following vectors. Round the... (answered by stanbon)
Solve for all solutions between 0 and 360 degrees. Round the solution to the nearest... (answered by solver91311)
Find the angle between the vectors U = <-2,-1> and V +... (answered by Fombitz)