Question

If a, b, c are mutually perpendicular unit vectors, then find the value of [a b c]².

Answer 1

Answer:

[a b c]² =0

Step-by-step explanation:

If a, b, c are mutually perpendicular unit vectors, then find the value of [a b c]²

as we know that [a b c]= a . (b×c)

a,b,c are mutually perpendicular than a.b=0...eq1

b.c=0...eq2

and c.a=0...eq3

because b.c=|b| |c| cosθ

and cos 90°=0

[a b c]= a . (b×c)=a.b×a.c=0×0

from eq 1,2 and 3

so

[a b c]² =0

Answer 2

Answer:

[a b c]²=1

Step-by-step explanation:

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