The initial and terminal points of a vector v are given. Terminal Initial Point Point (2, 0) (4, 4) (a) Sketch the given directed line segment. 5- (2, 4) (4, 4) 3 2. 2, 0 12 3 5 6 -1 0 2 5 6 O - 1- O -1 (2, 4) (4, 4) 3 2 2 (20 5 1 0 5 O (b) Write the vector in component form. ( v 1 , V2) = (c) Write the vector as the linear combination of the standard unit vectors i and j. (d) Sketch the vector with its initial point at the origin.(d) Sketch the vector with its initial point at the origin. (2, 4) (2,4) 4- 4- 3 (2, 0) 2 3 4 5 6 -1 1 2 3 5 6 -10 O -1- O (4. 4) 14, 4) 2- (2, 0) 5 2 5 O O d Help? Read It Watch It2. [-/0.075 Points] DETAILS LARCALC11 11.1.019. Find the magnitude of v. V = 7i | VI = Need Help? Read It Watch It 3. [-/0.075 Points] DETAILS LARCALC11 11.1.021. Find the magnitude of v. V = (8, 15) Need Help? Read It 4. [-/0.075 Points] DETAILS LARCALC11 11.1.024. Find the magnitude of v. V = 4i + 4j Need Help? Read It5. [-/0.3 Points] DETAILS LARCALC11 11.1.027. Find -zu, 3v, v - u, and 2u + 5v. u = (8, 6), v = (6, -3) (a) =u (b) 3v (C) v-U (d) 2u + 5v Need Help? Read It 6. [-/0.45 Points] DETAILS LARCALC11 11.1.040. Find the following- u = (0, 1), v = (2, -2) (a) lull (b) |wll (d) (e) u+V Need Help? Submit Answer7. [-/0.45 Points] DETAILS LARCALC11 11.1.041. Find the following U= ( 1 7), V= (5. 8) (=) Hull (b) llwil (c) Ju + vil (d) (e ) (f) U+v u + v] Need Help? Read it 8. [-/0.075 Points] DETAILS LARCALC11 11.1.046. Find the vector v with the given magnitude and the same direction as u. Magnitude Direction IVI = 6 u = (1, 1) Need Help? Read It 9. [-/0.075 Points] DETAILS LARCALC11 11.1.052. Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (Round your answers to four decimal places.) | |v| | = 4, 8 = 3.90 V= Need Help? Read It10. [-/0.15 Points] DETAILS LARCALC11 11.1.061. Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (4, 5) Need Help? Read It Which It 11. [-/0.15 Points] DETAILS LARCALC11 11.1.064.MI. Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 12) 8 : Need Help? Head It Master It12. [-/0.225 Points] DETAILS LARCALC11 11.1.068. You are given the following information. Function Point f(x) = -4x7 + 5 (1, 1) (a) Find a unit vector parallel to the graph of A(x) at the given point. (b) Find a unit vector normal to the graph of ((x) at the given point. Sketch the graph of f and sketch the vectors at the given point. y 4- -4 -2 -4 - 2 2 -2 -2 -4 -4 O O 4 2 -4 -2 2 -4 -2 2 -2 -21 -4 -4 O Need Help? Read It Submit Answer13. [-/0.225 Points] DETAILS LARCALC11 11.1.072. Consider the following. Function Point f(x) = tan x (= 1) (a) Find a unit vector parallel to the graph of fat the given point. (b) Find a unit vector perpendicular to the graph of fat the given point. Sketch the graph of fand sketch the vectors at the given point. 1.5 1.5 1. 0.5 0.5 NIAL O 1.5 1.5 1. 1. 0.5 NIL O Need Help? Read It14. [-/0.075 Points] DETAILS LARCALC11 11.1.073. Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v make with the positive x-axis. Ju| | = 1, 8 = 450 Ju + vil = vZ, 8 = 900 Need Help? Read It Watch It 15. [-/0.15 Points] DETAILS LARCALC11 11.1.075. Forces with magnitudes of 500 pounds and 400 pounds act on a machine part at angles 300 and -450, respectively, with the x-axis (see figure). Find the direction and magnitude of the resultant force F. (Round your answers to two decimal places.) o referenced to the horizontal positive x-axis IIFII = lb Need Help? Read it 16. [-/0.15 Points] DETAILS LARCALC11 11.1.078.MI. Three forces with magnitudes of 440 newtons, 260 newtons, and 380 newtons act on an object at angles of -309, 450, and 1350 respectively, with the positive x-axis. Find the direction and magnitude of the resultant force. (Round your answers to one decimal place.) direction magnitude Need Help? Read it Watch It Master It