Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i and Z2=4+5i, find Z3

Sagot :

MrRoyal

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is [tex]5+ 8i[/tex]

Given that:

[tex]Z_1 = 1 + 3i[/tex]

[tex]Z_2 = 4 + 5i[/tex]

Since O is the origin, then:

[tex]C = OA + OB[/tex]

This means that:

[tex]Z_3 = Z_1 + Z_2[/tex]

So, we have:

[tex]Z_3 = 1 + 3i + 4 + 5i[/tex]

Collect like terms

[tex]Z_3 = 1 + 4+ 3i + 5i[/tex]

[tex]Z_3 = 5+ 8i[/tex]

Hence, complex number Z3 is [tex]5+ 8i[/tex]

Read more about complex numbers at:

https://brainly.com/question/18509723

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.