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3 years ago

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

Mathematics

1 answer:

Digiron [165]3 years ago

8 0

Answer:

|-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°

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