Vector question 2

**daphnewoon** · October 24th 2009, 09:25 AM

Use cross product to find the sine of the angle between the vectors

u (2,3,-6)
v(2,3,6)

**earboth** · October 24th 2009, 10:22 AM

Originally Posted by daphnewoon

Use cross product to find the sine of the angle between the vectors

u (2,3,-6)
v(2,3,6)

**daphnewoon** · October 24th 2009, 07:55 PM

Hello, thanks for replying
I know the formula to solve this question, just that i've gt this equation:

(36 , -30, 0) = 10 sin alpha

How am i going to manipulate this?

**earboth** · October 24th 2009, 11:55 PM

Originally Posted by daphnewoon

Hello, thanks for replying
I know the formula to solve this question, just that i've gt this equation:

(36 , -30, 0) = 10 sin alpha

How am i going to manipulate this?

I'm not sure how you got this result ...

Use the formula I posted in my previous answer:

$<br /> |\vec u \times \vec v|= |\vec u| \cdot |\vec v| \cdot \sin(\vec u, \vec v)<br />$
Plug in all the values you know:

$|(2,3,-6) \times (2,3,6)|= |(2,3,-6)| \cdot |(2,3,6)| \cdot \sin(\vec u, \vec v)$

$|(36, -24, 0)|= 7 \cdot 7 \cdot \sin(\vec u, \vec v)$

$12 \cdot \sqrt{13}= 49 \cdot \sin(\vec u, \vec v)$

... and now solve for $\sin(\vec u, \vec v)$

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