What is the vector product of (4, -3, -5) and (5, -4, 2)?
A. (-26, -33, -1)
B. 22
C.(20, +12, -10)
D.(9, -7, -3)
E.(14, -17, -1)
To find the vector product (also known as the cross product) of two vectors, (4, -3, -5) and (5, -4, 2), we can use the following formula:
(A x B) = ((AyBz - AzBy), (AzBx - AxBz), (AxBy - AyBx))
Given vectors A = (4, -3, -5) and B = (5, -4, 2), we can substitute the values into the formula to find the vector product:
(A x B) = ((-3 * 2 - -5 * -4), (-5 * 5 - 4 * 2), (4 * -4 - -3 * 5))
= ((-6 - 20), (-25 - 8), (-16 - (-15)))
= (-26, -33, -1)
So, the vector product of (4, -3, -5) and (5, -4, 2) is (-26, -33, -1).
Therefore, the correct answer is A. (-26, -33, -1).