Question

Please solve the problem

Answer 1

Answer:

| (A+B)*(A-B) | = $\sqrt{10^2+14^2+22^2} =27.92$

Step-by-step explanation:

Given , $A=3i-j-2k,B=2i+3j+k$

$(A+B)=(3i-j-2k)+(2i+3j+k)\\\\=>(A+B)=5i+2j-k\\\\(A-B)=(3i-j-2k)-(2i+3j+k)\\\\=>(A-B)=i-4j-3k$

We know that

i * i = 0 , i * j = k , j * i = - k .....etc

We need to use matrix for (A+B)*(A-B).

So, i (-6 - 4) - j (-15+1) + k (-20-2)

(A+B)*(A-B) = -10 i+ 14 j - 22 k

=> | (A+B)*(A-B) | = $\sqrt{10^2+14^2+22^2} =27.92$

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