[" A force of "7vec i+6vec k" newton makes a body move on "],[" a rough plane with a velocity "3vec i+4vec k" m/s."],[" Calculate the power in watt "]

A force of 6 hat i+ 7 hat j newton makes a body move on a rough loane with a velocity of (4 hat j = 3 hat k) ms^(-1) . Calculate the power in watt.

A force F = (2 vec i + vec j + vec k)N is acting on a particle moving with constant velocity vec v = (vec i + 2 vec j + vec k)m/s . Power delivered by force is

Find the torque of the resultant of the three forces represented by -3 vec(i) + 6 vec(j) - 3 vec(k) , 4 vec(i) - 10 vec(j) + 12 vec(k), and 4 vec(i) + 7 vec(j) acting at the point with position vector 8 vec(i) - 6 vec(j) - 4 vec(k) , about the point with position vector 18 vec(i) + 3 vec(j) - 9 vec(k) .

(3vec i+4vec j-5vec k)*vec i=

If a force vec(F) = (vec(i) + 2 vec(j)+vec(k)) N acts on a body produces a displacement of vec(S) = (4vec(i)+vec(j)+7 vec(k))m , then the work done is

A point on the line r=2vec i+3vec j+4vec k+t(vec i+vec j+vec k) is