Question

IF A=6i-8j, B=8j+3j, c=20i+10j Find a&b such that aA+bB+c=0

Answer 1

Answer:

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Answer 2

Explanation:

for example

Answers (1)

aA=6ai-8aj

bB=-8bi-3bj

C=26i-19j

Given aA+bB+C=0i+0j

(6a-8b+26)i-(8a+3b+19)j=0i+0j

comparing coefficient of i and j

6a-8b=-26

2a-4b=-13.(1)

8a+3b=-19.(2)

making the coefficient of a similar

8a-16b=-52.(3)

8a+3b=-19.(4)

equation 4-3 implies

19b=33

b=33/19

from (1)

2a=-13+4(33/19)

2a=-115/19

a=-115/38