Nickc3366 Nickc3366
  • 24-01-2020
  • Mathematics
contestada

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

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sqdancefan
sqdancefan sqdancefan
  • 24-01-2020

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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