What is the cross product of #<2 , 5 ,-3 ># and #<3 ,5 ,-2 >#?
To find the cross product of two vectors,
To give the first element of the cross product, ignore the first elements of each of the vectors being multiplied and multiply and subtract the remaining elements as follows:
The second element is the trickiest. Ignore the second elements of each vector, and multiply and subtract as shown:
Carefully note the order.
Finally, to find the third element of the resultant vector, ignore the third element of the two component vectors, and multiply and subtract as shown:
Putting it all together:
In the specific case we were asked about in the question: