Units 1-5 Remote Day Review

Front

What is the magnitude of the vector v = 3i - 2j + 6k?

Back

7

Front

What is the Law of Cosines formula?

Back

c² = a² + b² - 2ab * cos(C)

Front

Calculate (2 + 3i)².

Back

-5 + 12i

Front

Simplify the expression (-10 + 6i)/17.

Back

(-10 + 6i)/17

Front

What defines a vector?

Back

A vector is a quantity with magnitude and direction.

Front

What is the formula for the magnitude of a vector v = ai + bj + ck?

Back

|v| = √(a² + b² + c²)

Front

How do you find the angle between two vectors?

Back

Use the formula cos(θ) = (u • v) / (|u| |v|) where u and v are vectors.

Front

What is the result of (1 + 2i)(3 + 4i)?

Back

-5 + 10i

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Front

What is the result of (3 + 4i) + (1 - 2i)?

Back

4 + 2i