Express v = -11i + 5j in polar coordinates. That is, find the magnitude and direction of the vector. Express the direction as an angle measured (in degrees) counterclockwise from the positive x-direction. Include in your response a hand-drawn representation of the vector. Show all relevant working.
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- A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?Three tension rods are bolted to a gusset plate. Determine the magnitude and direction of their resultant. Use the vector algebra and vector polygon methods. Compare the answers from the two methods to verify the accuracy of your work. Assume F = 520 lb, F = 220 lb, and F, = 340 lb. L. 20° 450 (Express your answers using three and four significant figures, respectively. Report the direction as an angle between 0 and 180°, clockwise or counterclockwise.) R = lb Select v from iwo vectors are defined in component form below. Use them to perform the following exercises. Note: £, §, and 2 are unit vectors of the Cartesian coordinate system defined by £ × 9 = z. S = - D Č = -152 + 82 D = -42 – 39 T = Č XD F = 5 le| = 17 Determine S. Show your ster Determine T. (Your answer should be an expression in component form.) Show your steps Determine the smallest angle between D and ý when they are drawn tail-to-tail.
- For the given vectors:a.) Find the resultantb.) Find the A - C using the triangle methodc.) Find the vector product B x Dd.) Find the vector product D x AVector p and vector L are drawn below. The norms of these vectors can be written as lp| and , respectively. These vectors live in the plane of the paper. The scalars M and N describe lengths. Chosen coordinate System N M Write an expression for p in component form, using the given Cartesian coordinate system. Your expression can only contain symbols in the problem statement or diagram. Show all steps Write an expression for L in component form, using the given Cartesian coordinate system. Your expression can only contain symbols in the problem statement or diagram. Show all stepsWhat is the resultant vector of the following vectors? Write your answer as xy. Leave na spaces. Right and Up are positive.
- add the vectors GRAPHICALLY in 1 2 and 3 and please show your work with encoded solutions and not hand writtenA car is driven 220 kmkm west and then 98 kmkm southwest (45degrees). please explain and show all steps. i'll rate up A.What is the displacement of the car from the point of origin (magnitude)? answer is 297.48km B.What is the displacement of the car from the point of origin (direction)? answer is 13.47 degreesadd the vectors GRAPHICALLY in 1 2 and 3 and please show your work with encoded solutions.
- for the first chart: will need to determine the missing values. Then, you will test your answers using one of the force tables. All angles need to be in the range from 0° to 360°, where 0° points along the positive x-axis, 90° points along the positive y-axis, 180° points along the negative x-axis, and 270° points along the negative y-axis. For the vector -A, the negative of a vector is antiparallel to the vector itself.Topic: Vector addition In the given data, determine the x and y components using vector addition. After, get the sum of both components. . Lets assume that 1 unit = 1 cm since the magnitude is unitless. Draw a graphical representation of each vector (A, B, C, D, and E) and label it. Use a ruler to determine the magnitude of the resulting vector and a protractor to determine its directions. Explain why the angle needs to add 360. (from tan^-1 (ry/rx) = -74.4 + 360 = 285.6 Show your solution in finding the required data.Find the sum of the given vectors. In total, you will find Rx, Ry, R and Θ (in standard position). Draw and label a diagram of the two vectors being added and the resultant vector. 580 N < 290° + 400N <150° Rx= Ry= R= Θ= If you could provide a diagram to help me understand I would greatly appricate it.