How to Calculate Dot Product of Two Vectors?

In summary, the dot product, or scalar product, of two vectors is a mathematical operation resulting in a single scalar value. It is calculated by multiplying the magnitudes of the vectors and the cosine of the angle between them. The dot product has a geometric interpretation and is used in various fields such as physics and engineering to calculate work, power, and other quantities. It is also directly related to the angle between two vectors, with positive values indicating acute angles, negative values indicating obtuse angles, and zero indicating perpendicularity.
  • #1
IHave
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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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  • #2
That's correct.
 

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