given that
position vector r = 3i-2j+4k m
f1 = 6.5i-3.7j+1.5k N
f2 = -6.5i-3.7j-1.5k N
from the relation
torque T = r*f
here i*i = j*j=k*k = 0
i*j = k
j*k = i
k*i = j
first torque due to force f1
T = r*f1 = (3i-2j+4k)*(6.5i-3.7j+1.5k)
a) 11.8 Nm
b) 21.5 Nm
c) 1.9 Nm
torque due to force f2
T = r*f2 = (3i-2j+4k)*(-6.5i-3.7j-1.5k)
d) 17.8 Nm
e) -21.5 Nm
f) -24.1 Nm
torque due to f1+f2
f1+f2 = -7.4 j
T = (3i-2j+4k)*(-7.4j)
g) 29.6 Nm
h) 0 Nm
i) -22.2 Nm
torque = T = (3i+2j+4k)*(-7.4j)
j) 29.6 Nm
k) 0 Nm
l) -22.2 Nm
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