Question number 46 please. cluls paae to v with three times the magnitude of v 40....
Please help me to solve question #47 and #53. v with the given magnitude In Exercises 47-50, find the vector v with the . and the same direction as u. Magnitude (47) || v || = 4 48. || v || = 4 49. || v || = 2 50. || v || = 3 Direction u = (1,1) u = (-1,1) u = (V3, 3) u = (0,3) In Exercises 51-54, find the component form of v given is...
Number 40 and 46 please; PD of squares of the four sides of a parallel- ogram is the sum of squares of its diago- nals ) 6 In each of the following cases, find all the eigenvalues and associated eigenvectors of A. Diagonalize A, if possible. [-4 5 6]. Find the projection of v onto u. If we denote this projection by w, verify that v -w is orthogonal to u. Ilustrate this by drawing a picture. -1 2-3 (a)...
(1) The displacement vector A las a length La and a direction east of north; the displacement vector B has a length Le and a direction west of north. What are the magnitude and direction of Ax B? (b) B x A? (c) Write out the vector A x B in terms of the unit vectors i, j, and k. [15 pts] (2) A boat with a maximum speed v (relative to the water) is on one shore of a...
Please explain the question 46 with all the details. Thanks! The three displacement vectors irn +y the drawing have magnitudes of A = 5.00 m, B 5.00 m, and C 4.00 m. Find the re- A sultant (magnitude and directional angle) of 20.0P the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis. 60.0° 47. mmh Multiple-Concept Example 9 re- views the concepts that play a role...
Express Fas a vector in terms of the unit vectors i, j and k (present your answer with 3 significant figures). Please enter your answers in the form of Ai +Bj +Ck. z - F = 60 N 1101 40 50 Dimensions in millimeters Determine the angle in degrees between F and the y- axis. z - F = 60 N 1101 40 50 Dimensions in millimeters 300 mm 150 mm 200 mm Use the vector product treatment to express...
5. Let u = [0,1,1), v = (-5, -4,6.7), and P = (4.–5.6). In the following, when rounding numbers, round to 4 decimal places. (i) Find the parametric form of the equation of the plane P. containing P and with direction vectors u and v. (ii) Find the parametric form of the equation of one of the two planes that are parallel to P, and distance 1 away from P1.
5. Let u = [0,1,1), v= (-5, -4,6.7], and P = (4, -5,6). In the following, when rounding numbers, round to 4 decimal places. (i) Find the parametric form of the equation of the plane Pi containing P and with direction vectors u and v. (ii) Find the parametric form of the equation of one of the two planes that are parallel to P1 and distance 1 away from P1.
#2 show work 2. (5 points) Find a vector of length 3 that is perpendicular to the line given by -3x + 7y = 11. Express the result in terms of the unit vectors i and j. 3. (10 points) A truck is parked on a driveway inclined 19° to the horizontal. A force of magni- tude 920 pounds is required to keep the truck from rolling down the driveway. a. Find the vector representing this force and express it...
Please show work 1. A 0.25 km wide river has a uniform flow speed of 4.2 m/s toward the east. It takes 23 s for a boat departing from the south bank to travel straight across the river to a position directly north of its departure. a) In what direction must the boat be pointed so as to accomplish this? Express your final answer relative to the North direction. (Hint: Start by drawing a right triangle representing the vector addition)...
4.2.4A. Consider the vector v - 5si-j. (A.) Find the magnitude of v and leave your answer in exact form. (B.) Find the angle that v makes with the vector i (assume that this angle is measured in the counterclockwise direction, like usual). Round your answer to two decimal places. Hint: It may be helpful to draw a picture. 4.2.5A. The vector V is drawn below. If 0 = /3 and V150, find its unit vector decomposition. Leave your answer...