Final answer:We've found the components and lengths of four vectors represented in i-j notation. The components are the coefficients of the i and j terms and these vectors' lengths are calculated using thePythagorean theorem.Explanation:These arevectorsrepresented ini-j notation. The components of these vectors are just thecoefficientsattached to the i and j terms.The components of the vector 3i - 4j are 3 and -4. To find the length of this vector, we use the formula √(3² + (-4)²) = 5.The components of the vector -5i - 1j are -5 and -1. The length of this vector is √((-5)² + (-1)²) = √26.The components of the vector -5i + 4j are -5 and 4. The length of this vector is √((-5)² + (4)²) = √41.Finally, the components of the vector -2i + 3j are -2 and 3. The length of this vector is √((-2)² + (3)²) = √13.Learn more about Vectors here:brainly.com/question/33923402#SPJ11The complete question is:Find the components and length of the following vectors:1. 3i- 4j2. -5i - 1j3. -5i + 4j4. -2i + 3j...

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