Write the expression in the standard form a bi 1 i20 squar

Write the expression in the standard form a + bi. (1 + i)^20 (squareroot - i)^5 Write the complex number in polar form. Express the argument 2i Find the unit vector having the same direction as v. v = 9i v = -3i + j Find the quantity if v = 5i - 7j and w = 3i + 2j. ||v-w|| Solve the problem. If u = 12i - 5j and v = -4i + 8j, find u + v. Find the angle between v and w. Round your answer v = -5i + 7j, w = -6i-4j

Solution

v = 5i- 7j
w = 3i + 2j

First v - w becomes :

(5i - 7j) - (3i + 2j)

2i - 9j

Now, mod this :

|2i - 9j| becomes....

sqrt(2^2 + (-9)^2)

sqrt(4 + 81)

sqrt(85) -----> ANSWER