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For hour body angular velocity w vector is equals to ICAP - 2 j cap + 3 k cap and radius vector r vector is equal ICAP + 2 j cap + k cap then its velocity is

Answer»

Two vectors: for angular velocity and RADIUS VECTOR.To find: The velocity vector?Solution:Now we have given the vectors which are as follows:                    angular velocity (ω) = i - 2j + 3k                    radius vector (r) = i + 2j + kNow we know the relation between linear velocity and angular velocity which is:                   (ω) X (r) = vSo putting the values in formula, we get:                    v =  ( i - 2j + 3k ) x ( i + 2j + k )                    v =                    v = i(-2-6) - J(1-3) + k(2+2)                    v = i(-8) - j(-2) + k(4)                    v = -8I + 2j + 4kAnswer:            So the velocity vector is -8i + 2j + 4k



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