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Journey Foster
Mathematics
2 April, 21:29
Find the magnitude and direction of - 5i + 10j
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Madden Irwin
2 April, 21:46
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|-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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