Question

Para los vectores A=(2i+5j - 6k) y B=(4i - 3j + k), el producto AxB es igual a:

Answer 1

A=2i+5j-6k    B=4i-3j+1k

AxB= $\left[\begin{array}{ccc}i&j&k\\2&5&-6\\4&-3&1\end{array}\right]$

AxB=$\left[\begin{array}{ccc}5&-6\\-3&1\\\end{array}\right] i- \left[\begin{array}{ccc}2&-6\\4&1\\\end{array}\right] j+ \left[\begin{array}{ccc}2&5\\4&-3\\\end{array}\right]k$

AxB=[(-5)(1)-(-6)(-3)] i -[(2)(1)-(-6)(4)] j + [(2)(-3)-(5)(4)]
AxB= -23i -26j -26k