How to Calculate Dot Product of Two Vectors?

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To calculate the dot product of the vectors F = 10i + 6j - 3k lb and B = 6i - 2j ft, the formula F dot B = FxBx + FyBy + FzBz is used. The components are multiplied accordingly: (10 * 6) + (6 * -2) + (-3 * 0), resulting in 60 - 12 + 0. The final calculation yields a dot product of 48 lb-ft. The solution provided is confirmed as correct.
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Homework Statement


obtain the dot product of the two vectors F= 10i + 6j - 3k lb and B= 6i -2j ft

Homework Equations


F dot B = FxBx + FyBy + FzBz
x is for the x components
y is for the y components
z is for the z components

The Attempt at a Solution


F dot B = (60 + -12 + 0)
I ended up with 48 lb-ft. I really just want someone to check my work. thanks
 
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