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11 votes
Given that a= 3i+7j and b= 5i-12j find:
(1) 12a+3b


2 Answers

12 votes
51i+48j is the correct answer
User Jitinsharma
by
5.1k points
4 votes

Answer:

51i + 48j

Step-by-step explanation:

Let's simplify step-by-step.

12(3i+7j)+3(5i−12j)

|Which is the equation.|

Distribute:

=(12)(3i)+(12)(7j)+(3)(5i)+(3)(−12j)

=36i+84j+15i+−36j

Combine Like Terms:

=36i+84j+15i+−36j

=(36i+15i)+(84j+−36j)

=51i+48j

Answer:

=51i+48j

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

User Kenneth Vogt
by
5.3k points