Sun of Series Where i and j are Dependent

Problems on Sum of the Series When I and J are Dependent

A body of mass 1 kg begins to move under the action of a time dependent force vec F = (2 t hat I + 3 t^(2) hat j) N , where hat i and hat j are unit vectors along x-and y-axes. What power will be developed by the force at the time t ?

A body of mass 1kg begins to move under the actio of a time dependent force vec(F)=(2t hat(i)+3t^(2) hat(j))N , where hat (i) and hat(j) are unit vectors along X and Y axis. What does will be developed by the source at time t ?

A body of mass 1 kg begins to move under the action of a time dependent force F=(2that(i)+3t^(2)hat(j))N, "where" hat(i)and hat(j) are unit vector along x and y axis. What power will be developed by the force at the time?

Examine if vec(i) - 3vec(j) + 2vec(k), 2vec(i) - 4vec(j) - vec(k) and 3vec(i) + 2vec(j) - vec(k) are linearly independent or dependent .

Let V_(1)=3ax^(2)i-2(x-1)j and V_(2)=b(x-1)i+x^(2)j where,ab<0. The vector V_(1) and V_(2) are linearly dependent for

Express A as the sun of a hermitian and skew-hermitian matrix,where A=[(2+3_(i),7),(1-i,2_(i))],i=sqrt-1.