The work done by a force `bar(F)=2bar(i)-bar(j)-bar(k)` in moving an object from origin to a point whose position vector is `bar(r)=3bar(i)+2bar(j)-5bar(k)]`

A force 2bar(i)+bar(j)-bar(k) Newton acts on a body which is initially at rest . At the end of 20 seconds the velocity of the body is 4bar(i)+2bar(j)-2bar(k) m/s . What is the mass of the body ?

Evaluate : 2.bar(5)-0.bar(35)

Evaluate : 2.bar(7)+1.bar(3)

Express each of the following in the simplest form : (i) 0.bar(6) (ii) 3.bar(3)

Express each of the following in the simplest form : (i) 0.bar(36) (ii) 1.bar(046)

Evaluate 3.bar(2)-0.bar(16)

The resultant of the three vectors bar(OA),bar(OB) and bar(OC) shown in figure :-

Evaluate : 1.bar(45)+0.bar(3)

P and Q are two points on the curve y = 2^(x+2) in the rectangular cartesian coordinate system such that bar(OP).barC=-1 and bar(OQ).barC=2 . where barc is the unit vector along the positive direction of the x-axis. Then bar(OQ)-4bar(OP)= (A) 3i+8j (B) 4i+6j (C) 2(3i+4j) (D) (4i+3j)

Express each of the following as a fraction in simplest form : (i) 0.bar(5) (ii) 1.bar(4) (iii) 0.bar(15)