Basic Vectors

If a, b, c are 3 non-coplanar unit vectors then, what is the value of [a b c]?
a). 1
b). 1/2.
c). 0
d) None of these.

4 Answers

19
Debotosh.. ·

ans looks to be (d)....volume of the parallelepiped is 3 units..isn't it ?

1
Nikhil Kaushik ·

the answer is (d), but it cant be more than 1...
See, (aXb).c = |a||b||c| sinθ cos φ
=> (aXb).c <= 1.

19
Debotosh.. ·

oh yeah ~

1
Nikhil Kaushik ·

If the angle between a, b is twice the angle between a, c & b, c, then find the value of [a, b, c].

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