Question: Question One a. i. Express the complex number, 1 - j in a polar form. ii. Hence evaluate (1 - j) 12 b. Given the

Question One a. i. Express the complex number, 1 - j in a polar form. ii. Hence evaluate (1 - j) 12 b. Given the matrix Cosx -Sinx A= Sinx Cosx Find the inverse of A ii. Hence solve the system of the equation CoS - -Sin = Cos - 8 X = Sing Cos - Sin- 4 C. Given the position vectors, a = (-2, 3, 2), b = (-4, 2, 5) and c = (2, 1, 3), prove that a x (b x c) = (a . c)b - (a . b)c

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

UCLAN FIRE www.uclan.ac.uk/fire University of Central Lancashire School of Engineering FV2301 Assignment Brief (25th October 2017) Assignment Details ANSWER ALL QUESTIONS. PLEASE REMEMBER TO COMPLETE...

uiz 2 SHOW ALL WORK to receive credit. 1. 3 pts. Use the sum or difference identities to evaluate exactly (no decimal approximations): cos285 2. In questions 2A, 2B, 2C, and 2D below, find the exact...

PRINTABLE VERSION Practice Final Question 1 Suppose that is an acute angle of a right triangle and that sec() = a) csc() = 33 7 b) csc() = 7 33 33 c) 33 4 csc() = 33 d) csc() = 33 4 e) csc() = 7 33...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

1 of 9 LYS Math 2412 - Final Exam Review Problems Update:11/18/ 1. Verify the identity: tan(x) sin(x) + cos(x) = sec(x) 2. Verify the identity: sin(x) - sin(x) cos2(x) = sin(x) 3. Verify the...

413-432_CH18_Nachmias.qxd 1/17/07 3:47 PM Page 413 Chapter Index Construction and Scaling Methods INDEX CONSTRUCTION The Purpose of the Index The Sources of the Data The Base of Comparison Methods of...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Downloaded 02/28/15 to 132.174.255.3. Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php 15.7. Exercises 475 changes and we laugh no more. While...

Applied Mathematics and Computation 95 (1998) 181192 Love dynamics: The case of linear couples Sergio Rinaldi 1 Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Via Ponzio 34/5, 20133 Milan,...

What are the Main Roles or Functions of the Atmosphere?

Issue 2 Can Ethics Codes Build True Corporate Ethics YES Eric Krell from How to Conduct an Ethics Audit An Ethics Audit Can Reveal Gaps in Your Ethics Policies and Practices HR MagazineApril 2010 pp...

Help fove 8 fer Submit Many investors use mortgage debt to help finance capital irvestment for income - producing real estate, in doing so , the owner will recelve income as iong as the property...

Job Order Cost Accounting for a Service Company The Fly Company provides advertising services for clients across the nation. The Fly Company is presently working on four projects, each for a...