Question

evaluate ( xyz) (a h g) (h b f) (g f c)


( x y z)
​

Answer 1

Answer:

A=[xyz]B=  

⎣

⎢

⎢

⎡

​  

 

a

h

g

​  

 

h

b

f

​  

 

g

f

c

​  

 

⎦

⎥

⎥

⎤

​  

c=  

⎣

⎢

⎢

⎡

​  

 

x

y

z

​  

 

⎦

⎥

⎥

⎤

​  

 

A.B=[xyz]  

⎣

⎢

⎢

⎡

​  

 

a

h

g

​  

 

h

b

f

​  

 

g

f

c

​  

 

⎦

⎥

⎥

⎤

​  

 

=[ax+hy+gzhx+by+fzgx+fy+cz]

A.B.C=(AB)×  

⎣

⎢

⎢

⎡

​  

 

x

y

z

​  

 

⎦

⎥

⎥

⎤

​  

=[ax  

2

+hyx+gyx+hxy+by  

2

+fzy+gxz+fyz+cz  

2

]

ABC=[ax  

2

+by  

2

+cz  

2

+2hxy+2gzx+2fzy]  

ABC=0  

when,

ax  

2

+by  

2

+cz  

2

+2hxy+2gzx+2fzy=0

Step-by-step explanation: