Question
Question: For any vectors **a, b, c** \(\mathbf{a} \times (\mathbf{b} + \mathbf{c}) + \mathbf{b} \times (\math...
For any vectors a, b, c a×(b+c)+b×(c+a)+c×(a+b)=
A
0
B
a+b+c
C
[abc]
D
a×b×c
Answer
0
Explanation
Solution
It is obvious.
For any vectors a, b, c a×(b+c)+b×(c+a)+c×(a+b)=
0
a+b+c
[abc]
a×b×c
0
It is obvious.