Question

Calculate the magnitude and angle of the vector.

B = −2x+2y

Answer 1

Magnitude:
`2√(2)`, Angle: 135 degrees

Explanation:

The magnitude of the vector ax + by is

`√(a^2+b^2)\\\\√((-2)^2+2^2)\\\\√(4+4)\\\\√(8)\\\\2√(2)`

The angle (in Standard Position) is 135 degrees.

See attached images.