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Question 21. Let i denote the square root of – 1. Suppose w =2– 3i. Find three cube roots of w in the exponential form. Note the arguments should be given as principal arguments [–r, n) in radians up to 3 decimal places. a) wo = V13e0.328i w = V13e2422i w2 = V13e4.516i b) wo = V13e-0.328i c) wo = V13e-0.983/ d) wo = V13e-0.328i, wi = V13e2.422i, w2 = V13e-1.767i w = V13e2.422i, w2 = V13e-1.767i w1 = V13e5.3001 w2 = V13el1.5831 e) not in the list Question 22. Let i denote the square root of – 1. Suppose z = 5+2i and w = -3 – i. Find a complex number p such that zwp = i. (a] }- 7i (b] [e] not in the list 13 290 [d] 13+1li 290 290 Question 23. The points P and P, have position vectors relative to the origin O: ñ = 7+j-2k ñ = 37-j+k, respectively. Find the Cartesian equation of the line in 3 dimensions which passes through point P, having the same direction as the vector ñɔ. [a] 붕3D%3D [b] 3D박 %3D 무 [e] not in the list

Question 21. Let i denote the square root of – 1. Suppose w =2– 3i. Find three cube roots of w in the exponential form. Note the arguments should be given as principal arguments [–r, n) in radians up to 3 decimal places. a) wo = V13e0.328i w = V13e2422i w2 = V13e4.516i b) wo = V13e-0.328i c) wo = V13e-0.983/ d) wo = V13e-0.328i, wi = V13e2.422i, w2 = V13e-1.767i w = V13e2.422i, w2 = V13e-1.767i w1 = V13e5.3001 w2 = V13el1.5831 e) not in the list Question 22. Let i denote the square root of – 1. Suppose z = 5+2i and w = -3 – i. Find a complex number p such that zwp = i. (a] }- 7i (b] [e] not in the list 13 290 [d] 13+1li 290 290 Question 23. The points P and P, have position vectors relative to the origin O: ñ = 7+j-2k ñ = 37-j+k, respectively. Find the Cartesian equation of the line in 3 dimensions which passes through point P, having the same direction as the vector ñɔ. [a] 붕3D%3D [b] 3D박 %3D 무 [e] not in the list

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 38E
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Foundation Student Handbook x - Course: Science and Engineeri X 9 SAMPLE-final exam_SEF041_2 X b Verify Email | bartleby (2 unread) - redb186@yahoo.c x + qmplus.qmul.ac.uk/pluginfile.php/2633177/mod_resource/content/1/SAMPLE-final%20exam_SEF041_2021.pdf A Update : Apps Мaps G Google Mail - Ai'Sha Inay... N Netflix a Amazon.co.uk Disney+ | Streami.. Course: Science a... M Maths Genie - A L... Edexcel AS Pure... Reading List >> SAMPLE-final exam_SEF041_2021.pdf 6 / 7 129% + | Question 21. Let i denote the square root of -1. Suppose w=2– 3i. Find three cube roots of w in the exponential form. Note the arguments should be given as principal arguments [-T, T) in radians up to 3 decimal places. | a) wo = V13e0.3: ,-0.328i b) wo = V13e ,-0.983i c) wo = V13e V13e-0.328i W1 = V13e2.422i Wi = V13e2.422i Wi = V13e5.300i V13e2.422i w2 = V13e4.516i ,-1.767i = V13e- W2 = V13el1.583i W2 = V13e-1.767i d) wo W1 || e) not in the list Question 22. Let i denote the square root of -1. Suppose z = 5+2i and w =-3– i. Find a complex number p such that zwp = i.. 4 [a] - 7i [b] $ 2 13 [e] not in the list [c] - - 13+11i 290 11 13 290 [d] 290 Question 23. The points P and P2 have position vectors relative to the origin O: i+j–2k 37– 3+k, respectively. Find the Cartesian equation of the line in 3 dimensions which passes through point P↑ having the same direction as the vector r2. [a] =4 = [b] = = [e] not in the list II
Transcribed Image Text:Foundation Student Handbook x - Course: Science and Engineeri X 9 SAMPLE-final exam_SEF041_2 X b Verify Email | bartleby (2 unread) - redb186@yahoo.c x + qmplus.qmul.ac.uk/pluginfile.php/2633177/mod_resource/content/1/SAMPLE-final%20exam_SEF041_2021.pdf A Update : Apps Мaps G Google Mail - Ai'Sha Inay... N Netflix a Amazon.co.uk Disney+ | Streami.. Course: Science a... M Maths Genie - A L... Edexcel AS Pure... Reading List >> SAMPLE-final exam_SEF041_2021.pdf 6 / 7 129% + | Question 21. Let i denote the square root of -1. Suppose w=2– 3i. Find three cube roots of w in the exponential form. Note the arguments should be given as principal arguments [-T, T) in radians up to 3 decimal places. | a) wo = V13e0.3: ,-0.328i b) wo = V13e ,-0.983i c) wo = V13e V13e-0.328i W1 = V13e2.422i Wi = V13e2.422i Wi = V13e5.300i V13e2.422i w2 = V13e4.516i ,-1.767i = V13e- W2 = V13el1.583i W2 = V13e-1.767i d) wo W1 || e) not in the list Question 22. Let i denote the square root of -1. Suppose z = 5+2i and w =-3– i. Find a complex number p such that zwp = i.. 4 [a] - 7i [b] $ 2 13 [e] not in the list [c] - - 13+11i 290 11 13 290 [d] 290 Question 23. The points P and P2 have position vectors relative to the origin O: i+j–2k 37– 3+k, respectively. Find the Cartesian equation of the line in 3 dimensions which passes through point P↑ having the same direction as the vector r2. [a] =4 = [b] = = [e] not in the list II
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