RHETOR 115 Lecture 7: Rhetoric 115 Lecture 7

Use a scalar triple product to determine whether the vectors lie in the same plane u = 5i - 2j + k, v = 4i - j + k, w = i + 2j + 4k, Show that i middot j = j middot k = k middot i = 0

Use a scalar triple product to determine whether the vectors lie in the same plane u = 5i - 2j + k, v = 4i - j + k, w = i + 2j + 4k, Show that i middot j = j middot k = k middot i = 0

For z = 5 - 4i and w = 2 - 3i, find z/w. That is, determine 5 - 4i/2 - 3i and simplify as much as possible, writing the result in the form a + bi, where a and b are real numbers. Show work. Consider the equation 2x^2 + 13 = 10x. Find the complex solutions (real and non-real) of the equation, and simplify as much as possible. Show work.