द्विविमीय गति के लिए निम्न समीकरणों की स्थापना कीजिए -
`v^(2) -u^(2) = 2 vec(a).(vec(r )-vec(r_(0)))`
जहाँ संकेतो के सामान्य अर्थ है |

If V=2r^(2) then find (i) vec(E) (1, 0, -2) (ii) vec(E) (r=2)

If V=2r^(2) then find (i) vec(E) (1, 0, -2) (ii) vec(E) (r=2)

If vec(P) + vec(Q) = vec(R ) and vec(P) - vec(Q) = vec(S) , then R^(2) + S^(2) is equal to

If vec(r )= x vec(i) + y vec(j) + z vec(k) then find (vec(r ) xx vec(i))^(2)- (vec(r )xx vec(k))^(2)

For any vector vec r, (vec r . i)^(2) + (vec r .j)^(2) + (vec r . k )^(2) =

If vec r=3vec p+4vec q and 2vec r=vec p-3vec q then

Given that vec A + vec B= vec R and A^(20 + B^(2) -R^(2) , find the angle between vec A and vec B .

Foe an arbitrary motion in sparce, which ot the following relations are true : (a0 vec (average ) = 1/2 [ vec v (t_10 + vec v (t_2)] (b) vec _(average ) = [vec r 9t_2) - vec r (t-1 0 ] // (t_2 -t_10 (c ) vec v(t) = vec v (0) + vec a t (d) vec r 9t) = vec r90) + vec v (0) t + ( 1//2 ) vec a t^2 (e) vec a_(average) =[ vec v( t_2) - vec v (t-2 ) ] // (t_2 -t_1)1 The average stands for average of the wuantity over the time interval t_1 and t_2 ].