# Problem: Let vectors: A = (1,0,-3), B = (-2,5,1), and C = (3,1,1)Cross product of two vectors, 2B and 3CCalculate (2B) x (3C)

###### FREE Expert Solution

$\begin{array}{rcl}\mathbf{2}\stackrel{\mathbf{⇀}}{\mathbf{B}}& \mathbf{=}& \mathbf{-}\mathbf{4}\mathbf{+}\mathbf{10}\mathbf{+}\mathbf{2}\\ \mathbf{3}\stackrel{\mathbf{⇀}}{\mathbf{C}}& \mathbf{=}& \mathbf{9}\mathbf{+}\mathbf{3}\mathbf{+}\mathbf{3}\\ \mathbf{\left(}\mathbf{2}\stackrel{\mathbf{⇀}}{\mathbf{B}}\mathbf{\right)}\mathbf{×}\mathbf{\left(}\mathbf{3}\stackrel{\mathbf{⇀}}{\mathbf{C}}\mathbf{\right)}& \mathbf{=}& \mathbf{|}\begin{array}{ccc}\stackrel{\mathbf{^}}{\mathbf{i}}& \stackrel{\mathbf{^}}{\mathbf{j}}& \stackrel{\mathbf{^}}{\mathbf{k}}\\ \mathbf{-}\mathbf{4}& \mathbf{10}& \mathbf{2}\\ \mathbf{9}& \mathbf{3}& \mathbf{3}\end{array}\mathbf{|}\end{array}$

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###### Problem Details

Let vectors: A = (1,0,-3), B = (-2,5,1), and C = (3,1,1)

Cross product of two vectors, 2B and 3C
Calculate (2B) x (3C)

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Our tutors have indicated that to solve this problem you will need to apply the Calculating Cross Product Using Components concept. If you need more Calculating Cross Product Using Components practice, you can also practice Calculating Cross Product Using Components practice problems.

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Based on our data, we think this problem is relevant for Professor Keres' class at UCSD.