http://onlineexamhelp.com/wp-content/uploads/2014/08/9709_s14_qp_13.pdf Q-07
use a dot product
i would start by subtracting A from B and C to move the setup so that A is at the origin
@amistre64 i am not good with vectors, dot product to find the angle between the directions of A and which letter
vectors are just things pointing to other things ... subtraction, addition, mutliplication are the basic math operations that you play with for this
|dw:1412608750949:dw|
by subtracting A from all the points, we move this thing to the origin at O and as such, the vectors from A to B abd A to C are defined for use
can you type the vectors they give you so i dont have to be flipping back and forth to keep track of information?
\[OA \left(\begin{matrix}1 \\ 2\\ 3 \end{matrix}\right)\] \[OB \left(\begin{matrix}0 \\ -1\\ 7 \end{matrix}\right)\] \[OC \left(\begin{matrix}2 \\ 4\\ 7 \end{matrix}\right)\]
now subtract OA from the others
can i ask a question what happens when we subtract OA from OB and OC.
for instance: B (0, -1, 7) -A ( 1, 2, 3) ----------- B' (-1,-3,4)
when we subtract we are moving the triangle to the origin so that the angle at A is at the origin and the vectors from A to B and A to C are defined for the required operations
at the moment, we dont have a triangle defined by vectors, we have the points of a triangle defined by vectors. |dw:1412609481093:dw| we want to know what vectors define the triangle itself so that we can work the problem |dw:1412609503989:dw|
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