Vectors u and v are shown in the graph. -12 -11 -10 -9 -8-7-6 -5 -4-3-2 What is projvu? u 6 5 3 2 -1 -2 -3 -5 -6 1

Q: Find the following expressions if a = 3i - 5k, b = i+j3k, and c = 4i + 5j + 3k. 1. a.b: 2. a. c = 3.…

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Q: Find the quotient (1+i) 10 1+/3i A. 10(1+ 3i): B. 16+5i C. 8(/3+i)· D. 6(/3+2i)- E. -8(/3-i). Е.

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Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and 22.

A: Given  Z1 = 7 - 4i Z2=2 + 5i

Q: Select all the solutions to (x - 2)² = a. x = 6 b. c. d. e. f. g. x = 2 x =- 6 x = 2 + 4i x = 2 + 2t…

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Q: =1/14 2 (−1+√√/3i). What is the value of 101 @ + @100 +1?

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Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: What is the real number of z= -1 +2i ? Select the correct response: O Re (z)=1 O Re (z) = -1 O Re…

A: A complex number is a number of the form a+ib. It contains two parts, the real part and the…

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: Evaluate  R   0.082i 1 − (1 + 0.082i)−n    when  R = 120,000,   i = 0.07,  and  n = 360.  (Round…

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Q: Multiply/Divide a) divide -27 • divide -27 b) (1+5i) (1- 5i)

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Q: Determine the product of (1 + i) and (1–31) A) 4- 2i B) 2 + 4i c) 2- 2i D) 2-4i

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Q: a. -5tiV13 b. x=ニ5tN -5tV13 C. X = 5士/13 d. x = 6. mplify: (4+ 2i) - (3- 5i) a. 7+ 7i

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Q: What is the imaginary number of z= -1 +2i ? Select the correct response: O Im (z) = -2 O Im (z) = 2…

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Q: Simplify: а) (4 — 3) + (6 + 25) e) (5 – 3i) – (-8+ 7i) f) (4 – 2i) (3 – 5i)

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Q: Find the following products.   (-3 + 3i)(-2 +9i)

A: To determine: -3+3i-2+9i

Q: Assume Z₁ = 2 - i and Z₂ = 1 + 3i. Find the product and quotient of z1 and 22. Z₁Z2 = Z1/Z2 =

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Q: Find the value of i20 + + 2i².

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Q: Say z1=2+15i and z2 = 3-6i, find z1*z2

A: We have to find z1*z2 where z1=2+15i and z2=3-6i

Q: If V = 4i + 3k and V2 = -2î + ĵ + 5 k. Find V1 - V2

A: Explanation of the solution is given below...

Q: √(3+4i)=A+Bi, find A and B

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Q: (1+2i)² (3–5i)-i? + (3+17i) Evaluate, 5.

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Q: Find the product.   ​[x−​(8+5i​)][x−​(8−5i​)]

A: Given ​[x−​(8+5i​)][x−​(8−5i​)] = [x-8-5i][x-8+5i] For multiplication we first multiply x with…

Q: (2-2i√3)4 Write the answer in standard form.

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Q: Calculate 3 (i − 2j) − 6 (i + 6j).

A: Given, 3(i-2j)-6(i+6j)

Q: (5+4i)(17 – 13i) – (5 + 3i)(17 – 13i)

A: A complex number is a number of the form a+bi with a,b being real numbers. Here a is called its real…

Q: If A = -2 - 3i, and B = 3 + 4i, what is AB?

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Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

A: Given that z1=7-4i and z2=2+5i

Q: [2-3i 5 + 8i 3 – 7i | 9. Find (2 + 3i) A if A = -4 L-6- i 5i

A: We can solve this as follows:

Q: Q.1) Identify a and b after the following is simplified: (6+2i)-(4+3i)

A: Given expression is (6+2i)-(4+3i)

Q: For the given numbers: Z1 = 1 – 2i, Z2 = 3 – i, Z3 = 2 – i, find: (a) Z1 · Z2 + Z3 (b) (c) |Z|

A: For the given numbers:z1=1-2i   , z2=3-i  , z3=2-iFind: