Final answer:
The expression (v x w)(v x y) suggests a product of vector cross products, but without explicit vectors, we cannot simplify it. The context provided references physics equations for motion, indicating a need for further details to correctly approach the problem. To simplify vector expressions, one would need the vector components and use cross product rules.
Step-by-step explanation:
To answer the student's question about simplifying the expression (v x w)(v x y), we need to recognize that this is a product of vector cross products. In general, cross products are denoted in mathematical notation using the symbols i, j, and k, where these represent the unit vectors of the x, y, and z axes, respectively. To simplify, we would typically multiply these cross product terms, expanding and simplifying them as though they were algebraic expressions. However, the information provided does not contain explicit vectors to work with and seems to refer to concepts relating to vectors and motions. The expression provided seems to omit vector components, and without more context or the actual vectors v, w, and y, we cannot specifically simplify this expression.
Moreover, the information given relates to equations of motion, like y = yo + voyt and v² = voy - 2g(y-yo), which are typically used to recombine horizontal and vertical components of vectors in physics. This suggests we should be looking at the problem through the lens of physics rather than purely a vector algebra perspective. If the actual components of vectors v, w, and y were given, they could be multiplied using the cross product rule for vectors.