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What is the value of linear velocity. If...

What is the value of linear velocity. If `vec(omega)=3hat(i)-4hat(j)+hat(k)and vec(r)=5hat(i)-6hat(j)+6hat(k)` ?

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a. Prove that the vector vec(A)=3hat(i)-2hat(j)+hat(k) , vec(B)=hat(i)-3hat(j)+5hat(k), and vec(C )=2hat(i)+hat(j)-4hat(k) from a right -angled triangle. b. Determine the unit vector parallel to the cross product of vector vec(A)=3hat(i)-5hat(j)+10hat(k) & =vec(B)=6hat(i)+5hat(j)+2hat(k).