The dot product of two forces is given as the sum of the
products of their x , y and z components.
Here we
have:
P = 4.82i - 2.33j + 5.47
kN
and Q = -2.81i - 6.09j + 1.12
kN
Now the product of the x components
is:
= (4.82)(-2.81) =
-13.5442
The product of the y components
is:
= (-2.33)(-6.09) =
14.1897
The product of the z components
is
= (5.47)(1.12) = 6.1264
Now
to get P dot Q add the three:
=> -13.5442 + 14.1897
+ 6.1264 = 6.7619
Therefore the required dot
product of P and Q is 6.7619
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