Triangle Inequality for Absolute Values
Read this topicExplanations 2
- Examples with Triangle Inequality \\ The triangle inequality is a theorem a theorem about distances. ∣a+b∣≤∣a∣+∣b∣\left|a+b\right|\le\left|a\right|+\left|b\right|∣a+b∣≤∣a∣+∣b∣ N…
By Christine
- Triangle Inequality The triangle inequality is a mathematical principle that is used all over mathematics. The way the triangle inequality is used most is in geometry. The trian…
By Daniel, Liza Sulkin, Victor Wang
Problems 8
- Let z,wz,wz,w be complex numbers with magnitudes ∣z∣=1|z| = 1∣z∣=1 and ∣w∣=4|w| = 4∣w∣=4. What is the largest possible value of the magnitude ∣z−w∣?|z-w|?∣z−w∣?
- Let z,wz,wz,w be complex numbers with magnitudes ∣z∣=1|z| = 1∣z∣=1 and ∣w∣=4|w| = 4∣w∣=4. What is the largest possible value of ∣(3+4i)z−w∣|(3+4i)z-w|∣(3+4i)z−w∣?
- What is the triangle inequality?
- How is ∣a+b∣≤∣a∣+∣b∣|a+b|\leq|a|+|b|∣a+b∣≤∣a∣+∣b∣ derived from a triangle?
- Which of these is equivalent to the triangle inequality?
- Which of these is equivalent to the triangle inequality?
- Which of these is equivalent to the triangle inequality?
- Which of these is equivalent to the triangle inequality?