Question

Determine the vector product of -> -> -> v₁ = 2i 3j 2k and v2=i 2j-3k

Answer 1

The vector product of →v1 = 2i + 3j + 2k and →v2 = i + 2j - 3k is -4i + 7j - 7k.

Step-by-step explanation:

To determine the vector product of →v1 = 2i + 3j + 2k and →v2 = i + 2j - 3k, we can use the cross product formula. The cross product of two vectors is another vector that is perpendicular to both of the original vectors.

We can find the vector product using the following steps:

1. Calculate the determinant of the matrix formed by placing the unit vectors i, j, and k in the first row and the components of the two vectors in the second and third rows.
2. Multiply the individual terms of the determinant by their respective signs: (+, -, +) for the first row and (-, +, -) for the second row.
3. Simplify the resulting expression to obtain the vector product.

In this case, the vector product of →v1 and →v2 is -4i + 7j - 7k.