the angular velocity of a rotating body is w=-6i+4j-10k then linear velocity of the body whose position vector 4i-j+5k
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Correct option is
B
3
i
^
+8
j
^
+10
k
^
Linear velocity is given by the cross product of angular velocity and position vector.
v
=
ω
×
r
v
=(4
i
^
+
j
^
−2
k
^
)×(2
i
^
+3
j
^
−3
k
^
)
=(−3+6)
i
^
+(12−4)
j
^
+(12−2)
k
^
=3
i
^
+8
j
^
+10
k
^
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