1. [-/0.341 Points] DETAILS LARCALC11 11.3.004. Find u . v, u . u, ||v|| , (u - v)v, and u . (3v). u = (4, 11), v = (-2, 3) (a) u . v b) (c) llv/12 (d) (u . v)v (e) u . (3v) Need Help? Read It 2. [-/0.341 Points] DETAILS LARCALC11 11.3.007. Find u . v, u . u, v 2, (u . v)v, and u . (3v). u = (2, -2, 3), v = (0, 6, 5) (a) u .v (b) uu (c) |/ V /12 (d) (u . v)v (e) u . (3v) Need Help? Read It Watch It3. [-/0.341 Points] DETAILS LARCALC11 11.3.010. Find u . v, u . u, ||v|| , (u . v)v, and u . (3v). u = 9i + j - 4k, v = i - 8j + 2k (a) u . V (b) uu (c) |/w/12 (d) (u . v)v (e) u . (3v) Need Help? Read It 4. [-/0.136 Points] DETAILS LARCALC11 11.3.011. Find the angle @ between the vectors in radians and in degrees. U = (4, 4), V = (8, -8) (a) radians B = (b) degrees Need Help? Read It Watch It5. [-/0.136 Points] DETAILS LARCALC11 11.3.013. Find the angle @ between the vectors in radians and in degrees. (Round your answer for part (a) to three decimal places and part (b) to one decimal place.) u = 3i + j, v = -2i + 4j (a) radians (b) degrees Need Help? Read It 6. [-/0.136 Points] DETAILS LARCALC11 11.3.014.MI. Find the angle & between the vectors in radians and in degrees. u = cos( TI )i + sin( )i, v = cos(31 )i + sin(31 )i (a) radians (b) degrees 8 = Need Help? Read It Master It7. [-/0.136 Points] DETAILS LARCALC11 11.3.016. Find the angle @ between the vectors in radians and in degrees. U = 8i + 4j + k v = 4i - 8j (a) radians (b) degrees Need Help? Read It Watch It 8. [-/0.136 Points] DETAILS LARCALC11 11.3.018. Find the angle & between the vectors in radians and in degrees. (Round your answer for part (a) to three decimal places and part (b) to one decimal place.) u = 2i - 3j + k v = i - 2j + k (a) radians A (b) degrees 8 = Need Help? Read It 9. [-/0.068 Points] DETAILS LARCALC11 11.3.020. Use the alternative form of the dot product to find u . v. || u || = 15, |/v|| = 35, and the angle between u and v is 57/6. Need Help? Read it10. [-/0.068 Points] DETAILS LARCALC11 11.3.023. Determine whether u and v are orthogonal, parallel, or neither. u = j + 5k v = i - 9j - k O parallel O orthogonal O neither Need Help? Read It Watch It 11. [-/0.069 Points] DETAILS LARCALC11 11.3.024. Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O parallel O orthogonal O neither Need Help? Read It 12. [-/0.069 Points] DETAILS LARCALC11 11.3.026. Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(@), 7) v = (sin(@), -cos(#), 0) O parallel O orthogonal O neither Need Help? Read It13. [40.069 Points] DETAILS LARCALC11 11.3.028. The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle. or a right triangle. (-5, o, o), [0. or c}. (7", 2, 5] D an acute triangle C) a right triangle 0 an obtuse triangle Need Help? 141. [40.136 Points] DETAILS LARCALC11 11.3.031 Consider the following. u = (F. 9). v = (5.6} [3] Find the projection of u onto 1:. S {In} Find the vector component of u orthogonal to \ . Z Need Help? 15. [40.136 Points] DETAILS LARCALCH 11.3.039. Consider the following. u=Ei+3jJ v=9i+5j [a] Find the projection of u onto 1:. S {In} Find the vector component of u orthogonal to \ . Z Need Help? 16. [-/0.136 Points] DETAILS LARCALC11 11.3.041. Consider the following. U = (4, -4, 6), V = (-3, 8, -2) (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v. Need Help? Read It 17. [-/0.136 Points] DETAILS LARCALC11 11.3.043. Consider the following. U = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v. Need Help? Read It 18. [-/0.136 Points] DETAILS LARCALC11 11.3.044. Consider the following. u = 5i - j - k, v = -i+ 5j + 8k (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v. Need Help? Read It19. [-/0.069 Points] DETAILS LARCALC11 11.3.055. Find the angle between a cube's diagonal and one of its edges. (Round your answer to one decimal place.) Need Help? Read It Watch It 20. [-/0.136 Points] DETAILS LARCALC11 11.3.057. MY NOTES A 43,000-pound truck is parked on a 100 slope (see figure). Assume the only force to overcome is that due to gravity. Find the force required to keep the truck from rolling down the hill and the force perpendicular to the hill. (Round your answers to one decimal place.) 109 Weight = 43,000 lb (a) Find the force required to keep the truck from rolling down the hill. Ib (b) Find the force perpendicular to the hill. Ib Need Help? Read it Watch It 21. [-/0.069 Points] DETAILS LARCALC11 11.3.060.MI. MY NOTES A toy wagon is pulled by exerting a force of 50 pounds on a handle that makes a 100 angle with the horizontal (see figure below). Find the work done in pulling the wagon 60 feet. (Round your answer to one decimal place.) ft-lb