Simplify: 2i -1+2i
If u =<5-i, -3i, 6+2i > and v=< 3, 21, -1-4i >, use the standard inner produc in Cº to determine, <u,v>, ||-||, and || |
Let A = [2-3i 3 + 2i [ 5 - 1+i –1 + i 21 1-11 -1-il -2 ] The set of solutions to the equation Ax = 0 is 22 = [Select] 23+ [Select] 21
Latin = and l [1 + 3i -2i (a) Verify that ởi and ū2 are orthogonal. (b) Let S = Span{ū1, ū2} and ū= الد ) - 3 3 + 2i . Find projgū.
please use complex conjugate to find 21 = 2 + 3i, z2 = 5 – 4i, please use complex conjugate to find 2 = ? 21 = -4+ 21, z2 = 5 – 3i, 72 = ? 21 = –4 + 2i, z2 = 5 – 3i, 21 – 21 = ? + 21 = -4 + 2i, z2 = 5 – 3i, 2171 = ?
Question 1) Find I = z +2 3z - 2 + 3i 22 + (2i - 2)2 - 4i ] dz, C:\z| = 3, CW a. 4πί b. 8πί C. 2πί d. -2π(3 +i) e. 0.0 f. ο g. -4πί h. 6π
2. Given the vectors u = 2i + 3j and v = -3i - 2j (a) (4 points) Plot and label each vector (b) (4 points) Find w = u + v (c) (4 points) Find the unit vector of w
3. Simplify the complex number 2+54 + vZe(7) into Cartesian form. 1+3i
Write the expression in standard form. 2i-(-6 +19) 2i-(-6 + 19i) = (Simplify your answer. Type your answer in the form a + bi.)
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]