Exam 7: Vectors, the Complex Plane, and Polar Coordinates

Find the quotient, In rectangular form. and

A force with a magnitude of 1055 pounds and another with a magnitude of 435 pounds are acting on an object. The two forces have an angle of 81 degrees between them. What is the magnitude of the resultant force? Round to the nearest pound.

Find the magnitude of the vector AB. A = (-3, 59) and B = (-2, 66)

Express the complex number in polar form.

Find all complex solutions to the equation.Write answers in rectangular form.

Find the dot product. < 30, 34 > · < -37, 23 >

Convert the point to exact rectangular coordinates.

Find the magnitude and direction angle of the vector u. u = (4, 1)

Express the complex number in polar form.

Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.

Graph the equation.

Find all complex solutions to the equation.Write answers in rectangular form.

Find the product, z₁z₂ in rectangular form. and

How much work is done by a crane to lift a 3 ton car to a level of 38 feet?

Determine if the vectors are orthogonal. < 4.6, 0.5 > and < -5.3, 48.76 >

Find all nth roots of z. Write answers in polar form.

Plot the point in a polar coordinate system.

Find the dot product. < -15u , -27v > · < 11v , 2u >

Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.

Find the magnitude and direction angle of the vector u. U = <-7, -1>