Find the magnitude and direction of - 5i + 10j

|-5i+10j| = 5√5 ≈ 11.18

∠ (-5i+10j) ≈ 116.57°

Step-by-step explanation:

The magnitude is given by the Pythagorean theorem:

|-5i+10j| = √ ((-5) ² + 10²) = √125 = 5√5

The direction is found using the arctangent function. The angle is a second-quadrant angle.

∠ (-5i+10j) = arctan (10/-5) ≈ 180° - 63.43° = 116.57°