Final answer:
To find a vector that is perpendicular to both A(2,-3,5) and B(3,-1,2), we can take the cross product of these two vectors.
Step-by-step explanation:
To find a vector that is perpendicular to both A(2,-3,5) and B(3,-1,2), we can take the cross product of these two vectors.
The cross product of two vectors A and B is given by the formula:
A x B = (Ay * Bz - Az * By, Az * Bx - Ax * Bz, Ax * By - Ay * Bx)
Plugging in the values for A and B, we get:
A x B = ((-3 * 2) - (5 * -1), (5 * 3) - (2 * 2), (2 * -1) - (-3 * 3))
Simplifying, we find that A x B = (-1, 13, -7)
Therefore, the vector (-1, 13, -7) is perpendicular to both A(2,-3,5) and B(3,-1,2).