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

Q: (2.1) Perform the indicated operations: a) (6 m² – 3 m³) (2m + n) b) (5x + 7y) + ( -5x + 2y) c) (2x…

A:

Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: Find (a) x06,2 (b) to.00,10 (c) Fo1,1,10, and relate this to part (b).

A: To find the these critical values we will use excel function.

Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: Find the value of (1+ i)" + (1 – i)", V n E N

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (14+ x) ÷ 2 when x = 4

A: Note: It is being assumed that the expression: (14+ x) ÷ 2 needs to be evaluated when x=4.   In the…

Q: Evaluate the following:

A: Given that: ∫(6x2-4x+1)dx

Q: Find A. 0 2 (2A)-1 = BB A =

A:

Q: Simplify. [(20)²]³ 8i Enter your answer in the box.

A:

Q: A twin-engined aircraft can fly 1024 miles from city A to city B in 4 hours with the wind and make…

A: Let the speed of wind is w and speed of twin aircraft be v.

Q: Given that z = V3+i. (a) Find z10 and express your answer in the form a + ib, where a and b are real…

A: Given that  z=3+i Let z=reiθ=rcosθ+isinθ, then rcosθ=3, rsinθ=1 ⇒r=3+1=2 and θ=tan-113=π6. So,…

Q: simplify the following expressions  (x²/5y)²

A: Given x25y2 to simplify the expression

Q: 3.) Simplify (0.75x + 2y) - (0.3x – 0.6y)

A:

Q: For what value(s) of k will make A(5,k) B(-1,-6) 10 units from each other?

A:

Q: plify into a simple formula:∑n k=1(2k −

A: The given series is

Q: If n(A) = 105, n (A ⋃ B) = 142, and n (A ⋂ B) = 46, find n(B)

A: This question is about set

Q: Express the following as a single power of the variable: (x-2)-3 a²x xa 4x a. C. b. d. le

A: We knew that (ab)c=abca. (x-2)-3=x(-2)×(-3)=x6

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: Simplify the following:  (a.)  i11 (b.) i105 (c.) (5/i) + (2/i3) - (20/i18) (d.) (4i)3 - 4i3

A: we are given some complex equations , we have to simplify them. As per the guidelines we can solve…

Q: a. (X-3)² +(y-1)²=4  b.(X+3)² +y²=11

A: since the equation of circle having center (h,k) and radius r is given by (x-h)2+(y-k)2=r2    --(1)…

Q: Express in the form (a+bj): (4+7j)-j) (2–5 3.1 3.2 e

A: The complex numbers are usually represented in the form of z=a+bj , where, a is the real part and b…

Q: 7x2-6x+1 = m(x – 2) + n(x – 1)(x + 3) + p(x – 5)(x+ 2)

A: We know that a second degree polynomial has the form fx=ax2+bx+c, where a, b and c are constants…

Q: Simplify (xz – 4z) z2(4 – x) 1

A:

Q: Simplify as much as possible: 5 /10 -J10 b. 12-3/15-3+5,/15 a.

A: From the given problem: a).   510-10   It is a similar element so we can add or subtract simply.…

Q: Select all expressions that are equal to (v2)° A; -* B: J C: V32 D: -(V2)° E: -2 F: 2

A:

Q: (20" + 6a²)dæ + 6x²) dæ Find (2,x7

A: ∫(2x7+6x2) dx