[" Wro particles having position vectors "vec r_(i)=(-3i+5j)m" and "vec r_(2)=(-5i-3j)m" are "],[" lithe the collide after "],[" 2s,the values of a is "]

Two particles having position vectors vec(r )_(1) = ( 3 hat(i) + 5 hat(j)) meters and vec( r)_(2) = (- 5 hat(i) - 3 hat(j)) metres are moving with velocities vec(v)_(1) = ( 4 hat(i) + 3 hat(j)) m//s and vec(v)_(2) = (alpha hat(i) + 7 hat(j)) m//s . If they collide after 2 s , the value of alpha is

For vectors vec(A) = (2i + 3j - 2k), vec(B) = (5i + nj + k) and vec(C ) = (-I + 2j + 3k) to be coplanar, the value of n is

The lines vec r=i-j-k+s(i+2j-2k) and vec r=(i-2j+3k)+t(-i+j-2k)

If the points having position vectors vec i+bvec j+cvec k,7vec i+2vec j+6vec k and 5vec i+2vec j+5vec k are collinear then find the values of b and c

If the vectors vec a=2hat i-3hat j and vec b=-6hat i+mhat j are collinear,find the value of m

Determine the value of p for which the vectors pvec i-5vec j and 2vec i-3vec j are collinear

If vectors vec A=3i-3j+2k and vec B=4i+2j-Ck are perpendicular, value of C is

If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides of a trianglePQR Find the angle between vec(PQ) and vec(PR)