Let A = 2i + 3j\ and\ B = 4i

percibaa8

percibaa8

Answered question

2021-12-10

Let A=2i+3j and B=4i4j. Show graphically, and find algebraically, the vectors A,3B,AB,B+2A,12(A+B).

Answer & Explanation

Jimmy Macias

Jimmy Macias

Beginner2021-12-11Added 30 answers

Step 1
Given: A=2i+3j
B=4i4j
Find:
A=?
3B=?
AB=?
B+2A=?
12(A+B)=?
Step 2
Solution:
A=(2i+3j)=2i3j
3B=3(4i4j)=12i12j
AB=(2i+3j)(4i4j)=2i+3j4i+4j=2i+7j
B+2A=(4i4j)+2(2i+3j)=4i4j+4i+6j=8i+2j
12(A+B)=12[(2i+3j)+(4i4j)]=12[6i4]=72i48
Step 3
Answer:
A=2i3j
3B=12i12j
AB=2i+7j
B+2A=8i+2j
12(A+B)=72i48
Natalie Yamamoto

Natalie Yamamoto

Beginner2021-12-12Added 22 answers

A=2i+3j,B=4i4j
a) A=(2i+3j)=2i3j
b) 3B=3(4i4j)=12i12j
c) B+2A=(4i4j)+2(2i+3j)
=4i4j+4i+6j
=8i+2j
d) AB=(2i+3j)(4i4j)
=2i+7j
e) 12(A+B)=12(2i+3j)+(4i4j)]
=3i12j

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