How Do You Solve Linear Problems
Solving the linear equations of the form ax+b = 0 is very easy, where a and b are the real... View Article
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Is Cross Product Distributive Over Dot Product
Cross product or vector product is distributive across addition of vectors, such that; a × (b + c) = a... View Article
Can The Mean Value Theorem Be Applied
Mean value theorem can be applied to the function f(x) if it is continuous at a closed interval [a,b] and... View Article
What Is The Shortcut To Find The Determinant Of A 5 X 5 Matrix
We can use the cofactor method or Laplace expansion method to find the determinant of a 5×5 matrix. In this... View Article
Where Do Conic Sections Come From
When a plane intersects a right circular cone, we get conic sections, such as: Circle Ellipse Hyperbola Parabola Learn more:... View Article
Can you multiply real and imaginary numbers?
Yes we can multiply real and imaginary numbers or complex numbers. For example, 2 multiplied by 3-i is equal to... View Article
How Do You Interpret The Determinant Of A Matrix
Determinant of a matrix is the scalar quantity that can be determined by using a square matrix. If A is... View Article
What Are The 4 Properties Of Math
In mathematics, the four properties of numbers are commutative, associative, distributive and identity. Commutative property A+B = B+A A.B =... View Article
If A Cos Alpha I Sin Alpha B Cos Beta I Sin Beta C Cos Gamma I Sin Gamma And B C C A A B 1 Then Cos Beta Gamma Cos Gamma Alpha Cos Alpha Beta Is Equal To
Given a = cos α+i sin α, b = cos β+i sin β, c = cos γ+i sin γ a... View Article
If W Not Equal 1 Is A Cube Root Of Unity And 1 W2 N 1 W4 N Then The Least Positive Value Of N Is
Given (1+ ω2 )n = (1+ ω4 )n (-ω)n = (1+ω3ω)n (-ω)n = (1+ω)n (-ω)n = (-ω2)n ω2n/ωn = 1... View Article
If 1 W And W 2 Are The Cube Roots Of Unity Then Is Equal To 1 W 1 W 2 1 W 4 1 W 8 Is Equal To
Given 1, ω and ω2 are the cube roots of unity. 1+ω+ω2 = 0 1+ω = -ω2 1+ω2 = -ω... View Article
The Square Roots Of 7 24 Root 1 Are
-7- 24√-1 = -7-24i (since √-1 = i) Let √(-7-24i ) = x+iy Squaring both sides (-7-24i ) = (x+iy)2... View Article
If 2x Equal 1 Plus Root 3i Then The Value Of 1 X2 X6 1 X X2 6 Is
Given 2x = -1+ √3i x = (-1+√3i)/2 = ω So (1- x2 + x)6 – (1- x + x2)6... View Article
The Modulus And Amplitude Of 1 I Root 3 8 Are Respectively
(1+ i√3 )8 = (2(½)+(√3/2)i)8 = ( 2 cos 60 + i sin 60)8 = (2 eiπ/3)8 = 28ei8π/3 =... View Article
The Principal Amplitude Of Sin 40 I Cos 40 5 Is
(sin 40o + i cos 40o)5 = i5(cos 400-i sin 400)5 = i(cos 2000-i sin 2000) = i(cos 1800+200)-i sin... View Article
If Omega Is A Cube Root Of Unity Then The Value Of 1 Omega Plus Omega Power 2 5 1 Omega Omega 2 5 Is
Given ω is a cube root of unity (1 – ω + ω2)5 + (1 + ω – ω2)5 =... View Article
If Rooti5 3i Power 33 2 49z Then Modulus Of The Complex Number Is
Given (√5+√(3i))33 = 249z Take modulus |√5+√3i)33| = |249z| |√5+√3i)|33 = 249|z| (√(√52+√32)33 = 249|z| (√8)33 = 249|z| (23)33/2 =... View Article
If Omega Is An Imaginary Cube Root Of Unity And X Equal A Plus B Y A Omega B Omega 2 Z A Omega2 B Omega Then X2 Y2 Z2 Is Equal To
Given ω is an imaginary cube root of unity x = a + b y = aω + bω2 z... View Article
If Omega Is A Complex Cube Root Of Unity Then Sin Omega 10 Omega 23 Pi By 4 Is Equal To
sin ω10+ω23π-π/4 = sin ω+ω2π-π/4 (Since ω is a cube root of unity) = sin -π-π/4 ( since 1+ω+ω2 =... View Article
If Square Root Of 7 24i Is X Iy Then X Is Equal To
Let root of -7+24i = x+iy Squaring both sides (-7+24i ) = (x+iy)2 = x2-y2+2xiy Compare real and imaginary part... View Article
