have you learned about vector cross products?
how far did you get when you tried out the problem? or were you stuck on how to get started?
is it just the cross product?..
yes you apply the cross product of the two vectors
did you need help computing the cross product?
yes, how do i set this up
step 1) write out i,j,k along a horizontal row like this |dw:1444614782773:dw|
step 2) write each vector under the i,j,k (line up the corresponding elements) |dw:1444614829596:dw|
we will apply the determinant of this matrix |dw:1444614875046:dw| denoted by the vertical bars
to apply the determinant, copy the first two columns and move them to the right of the matrix |dw:1444614908976:dw|
now we circle the diagonal elements like so |dw:1444614990848:dw|
add up the results -14i + 2j + 6k
now we circle these diagonals |dw:1444615117544:dw|
Multiply out the elements in each subgroup |dw:1444615147629:dw|
add up the results 7k+(-6i)+4j = -6i+4j+7k
the last step is to subtract the two sums (first sum) - (second sum) = (-14i+2j+6k) - (-6i+4j+7k) (first sum) - (second sum) = -14i+2j+6k + 6i - 4j - 7k (first sum) - (second sum) = -8i - 2j - 1k So the cross product of the two vectors is <-8, -2, -1>
damn, thank you so much, can you help me with one more question though?
sure, go ahead