v=4i-j

w=3i+2j

2022-04-04
Answered

v=4i-j

w=3i+2j

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star233

Answered 2022-04-20
Author has **208** answers

Compute the following cross product:

$(4,-1)\times (3,2)$

Construct a matrix out of vectors $(4,-1)$ and $(3,2)$:

$\left(\begin{array}{cc}4& -1\\ 3& 2\end{array}\right)$

Take the determinant of this matrix:

$\left|\begin{array}{cc}4& -1\\ 3& 2\end{array}\right|$

Multiply along the diagonals and subtract:

$4\times 2-(-1)\times 3$

$(-1{)}^{2}=1$

$4\times 2+3=11$

Answer: $11$

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