Answer:

Step-by-step explanation:
The charge, q, of the particle is

The velocity, v, of the particle is (5i + 4j - k) m/s
It moves in a region containing electric field, E, of (2i - j - 5k) V/m and magnetic field, B, of (3i + 3j + k) T.
The electric force acting on the particle is given as:
![F = q[E + (v X B)]](https://img.qammunity.org/2021/formulas/physics/college/oa0qo006gjxkntdth954betidfrh309ql8.png)
where v X B is cross product.
Therefore:

Let us solve (5i + 4j - k) X (3i + 3j + k):
![\left[\begin{array}{ccc}i&j&k\\5&4&-1\\3&3&1\end{array}\right]](https://img.qammunity.org/2021/formulas/physics/college/3akh045u6gccix5nfupu83ub2mw0fuke7m.png)
i(4 + 3) - j(5 + 3) + k(15 - 12) = 7i - 8j + 3k
Therefore:
![F = 2.72 * 10^(-18) * [(2i - j - 5k) + (7i - 8j + 3k)]\\\\F = 2.72 * 10^(-18) *(9i -9j -2k) N\\\\F = 10^(-18) *(24.48i + 24.48j - 5.44k)](https://img.qammunity.org/2021/formulas/physics/college/i2dpkv1cguqy5r55l0g9krw2fylbx0mmkm.png)