Assignment 11.7: Polar Form of Complex Numbers Score: OMS OMS answered . Question 1 I Find the magnitude of the complex number z v' l 51' lzl - . Question 2 v Find the magnitude of the complex number 2 3 I 31' . Question 3 v erte the following numbers in Polar form: r(oosa + 151113) with l] 5 a Calculate V4 - 4i. Give your answer in a + bi form. In polar form, use the angle 0 Write the vector shown above in component form. Vector = '1'. + l 5 Note: In the graph, each box is I unit by I unit in size . Question I" v A vector with magnitude ? points in a direction 22f) degrees counterclockwise from the positive x axis. Write the vector in component form. - Vectc-r = 1' + 5" Give each value accurate to at least 1 decimal place 0 Question 8 v Given the vector ii = 4? + 53, find the magnitude and angle in which the vector points {meaSured counterclockwise from the positive x-amis. 0 For the following vector, convert from magnitude and direction to x and y coordinates T=G, 9:230" K=i ly: .Questionil v ( } For the following vector, convert from x and v coordinates to magnitude and direction z:5,y=7 r: .9=i t 0 Question 12 v .n' 4 3 2 .E t _ _ _3 _ . 4 3 -1 I 2 3 4 -2 3 4 Find the magnitude and angle {in degrees} of the vector shown above. Magnitude: ' ' Angle: I degrees I i . Question 14 v > .. Find the unit vector ev if t: = (24) :p Eo'[' . Question 15 v Let ii : (2,0) and E : (5,5). Find 2&7 + E. | > . Question 16 v v = U + V= U . V= 2u - 3V = 3u + V=Assignment 11.4: Polar Coordinates Score: 3/15 3/15 answered . Question 4 Convert the Cartesian coordinate (1, -4) to polar coordinates, 0 Rewrite the polar equation r = 4 cos(0) as a Cartesian equation.. Question 13 v ( > Rewrite the Cartesian equation 1; = 41:2 as a polar equation. rm =| . Question 14 1' Rewrite the Cartesian equation x = 4 as a polar equation. rm) =l Enter theta for lg if needed. Assignment 1 1.5: Polar Graphs Score: OHS l].-"16 an5weled . Question 1 v