Tagged Questions
1
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1answer
117 views
proof for $[\vec{a}\cdot (\vec{b} \times \vec{c})]\vec{a}=(\vec{a}\times\vec{b})\times(\vec{a}\times\vec{c})$
I encounter this triple product property in wikipedia
But I can't find proof for
$$[\vec{a}\cdot (\vec{b} \times \vec{c})]\vec{a}=(\vec{a}\times\vec{b})\times(\vec{a}\times\vec{c})$$
The RHS cross ...
0
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1answer
42 views
Derivative of a vector function
Can someone please check my work below to confirm whether or not I got the correct answer? This is question 13.2.16 in the 7th edition of Stewart Calculus.
Find the derivative of the vector function:
...
0
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1answer
41 views
problem understanding $a\times((b\cdot b)a-(b\cdot a)b)=-a\cdot ba\times b$
$a\times(b\times(a\times b))=a\times((b\cdot b)a-(b\cdot a)b)=-a\cdot ba\times b$
can anyone expand on how the final answer is derived?
I try to expand but ended up scratching my head.
the best I can ...
2
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2answers
126 views
How to prove the equality of two vectors?
OK, i am trying to prove that if $\vec a\times \vec b = \vec a \times \vec c$
and also $\vec a\cdot \vec b = \vec a \cdot \vec c$ then $\vec b = \vec c$.
so far i got to $\vec n \tan \alpha = \vec m ...
1
vote
1answer
2k views
Fleming's “right-hand rule” and cross-product of two vectors
I have been throwing around hand gestures for the past hour in a feeble attempt at trying to solve this question involving a cross product of two vectors $a$ x $b$. So far, I haven't found any ...
0
votes
1answer
763 views
normalized cross product
Is there a way to get the result of a cross product to be normalized after just a cross action, i.e. without doing after the cross v/|v|? (the vectors involved are ...
