Show true for all vectors - Math Help Forum

$Go Back$		Math Help Forum > University Math Help > Advanced Applied Math
$Reload this Page$ Show true for all vectors

$Reply$

Thread Tools

Display Modes

$Old$ November 1st, 2009, 03:07 PM

$craig's Avatar$

craig $craig is offline$

Generous Contributor

Join Date: Apr 2008

Location: Manchester

Posts: 383

Country:

Thanks: 67

Thanked 124 Times in 111 Posts

$craig will become famous soon enough$ $craig will become famous soon enough$

$Default$ Show true for all vectors

Use Maple to show that, for these particular vectors,
$(a \times b).[(b \times c) \times (c \times a)] = [a.(b \times c)]^2$ where $\times$ is the vector cross product.

I was able to do this but for the second part of the question it asks:

Quote:

Using pen-and-paper, show that equation (z) holds for ALL vectors a, b and c

Would I just set vector $a$ as $\begin{pmatrix} a_1\\a_2\\a_3\end{pmatrix}$ , $b$ as $\begin{pmatrix} b_1\\b_2\\b_3\end{pmatrix}$ etc and work through to get a big equation in the form of $abc$ in the end, or is there a more elegant way?

Thanks in advance

Craig

__________________
Craig

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.

$Reply With Quote$

$Reply$

« prove this sequence in conjugate gradient method is incresing | Top | inversed Z Transform »

Thread Tools
$Show Printable Version$ Show Printable Version $Email this Page$ Email this Page
Display Modes
$Linear Mode$ Linear Mode $Hybrid Mode$ Switch to Hybrid Mode $Threaded Mode$ Switch to Threaded Mode

Posting Rules
You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are Off

Forum Jump

All times are GMT -7. The time now is 06:07 PM.

Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics.
Register to post your math questions or just hang out and try some of our math games or visit the arcade.