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The complex numbers Z and W are given by Z=3+3i and W=6-i. Giving your answers in the form of x+yi and showing how you clearly obtain them, find: i) 3Z-4W ii) Z*/W

i) 3Z-4WFor this question it is just the matter of substituting the complex numbers of Z and W into the equation. So, 3(4+3i)-4(6-i). Then multiply out the brackets to get 12+9i-24+4i. Finally simply to g...

JB
Answered by James B. Maths tutor
6986 Views

If one angle in a triangle is 60° and another is 33°, what is the third angle?

87°.
This is because there are 3 angles and 180° in a triangle.
180°- 60°- 33° = 87...

KF
Answered by Kate F. Maths tutor
2366 Views

What are the products when an acid reacts with a metal?

An acid and metal react to form hydrogen and a salt.
For example:
Mg + 2HCl ----> MgCl2 + H2
1 mole of magnesium reacts with 2 moles of hydrochloric acid to form 1 mole of magnesium chl...

KF
Answered by Kate F. Maths tutor
3283 Views

Three forces, (15i + j) N, (5qi – pj) N and (–3pi – qj) N, where p and q are constants, act on a particle. Given that the particle is in equilibrium, find the value of p and the value of q. (Mechanics 1 June 2017)

As the particle is at rest, the net force acting on the particle must be equal to zero, i.e. Fres = 0Therefore, (15i + j) + (5qi - pj) + (-3pi - qj) = 0Collating 'i' terms: 15 + 5q - 3p = 0 (Equation 1...

IK
Answered by Idris K. Maths tutor
12332 Views

Find the Cartesian equation of plane Π containing the points A(6 , 2 , 1) and B(3, -1, 1) and perpendicular to the plane Π2 (x + 2y - z - 6 = 0).

The information we are given to solve for the equation of the plane are the points A and B, as well as the equation of a plane which lies perpendicular to the plane Π we are solving for.Method 1: Since A ...

YG
Answered by Yannick G. Maths tutor
8070 Views

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