3i+2j)*(2i-3j)=0
bcz dot product is zero.
If you wish to add the vectors, then the component parts must be added. For example if one vector is 3i + 2j - 4k, (i j & k are orthogonal direction vectors in the x y and z directions respectively), and say another vector is 2i + 8k {nothing in the j direction}, you would need to add the components individually.So in this example the new i component is (3 + 2)i = 5i and the new j component is (2 + 0)j = 2j, and the new k component is (-4 + 8)k = 4k. The vector sum of those two vectors is 5i + 2j + 4k.
- 2 - 3i
0 + 3i
11
The complex conjugate of 2-3i is 2+3i.
(8+6i)-(2+3i)=6+3i 8+6i-2+3i=6+9i
-2 - 3i
(3i+l)(3-I)
The "i" in 3i means the number is imaginary.
0+3i has a complex conjugate of 0-3i thus when you multiply them together (0+3i)(0-3i)= 0-9i2 i2= -1 0--9 = 0+9 =9 conjugates are used to eliminate the imaginary parts
3i and or -3i
1/(1+ 3i)