Answer:
[tex]-43\hat{k}[/tex]
Explanation:
given,
[tex]\vec{A} = 4 \hat{i} + 7 \hat{j}[/tex]
[tex]\vec{B} = 5 \hat{i} - 2 \hat{j}[/tex]
vector product [tex] \vec{A} \times \vec{B} = ?[/tex]
[tex]\vec{A} \times \vec{B}[/tex] = [tex]\begin{bmatrix}i & j & k\\ 4 & 7 &0 \\ 5 & -2 & 0\end{bmatrix}[/tex]
now, expanding the vector
[tex]\vec{A} \times \vec{B}= \hat{k}(-2\times 4 - 7\times 5)[/tex]
[tex]\vec{A} \times \vec{B}= -43\hat{k}[/tex]
the vector product is equal to [tex]-43\hat{k}[/tex]
