For a particle,thrown from the ground obliquely,`vec u=(5hat i+6hat j)ms^(-1)`,`vec a=(0hat i-10hat j)ms^(-2)` where x and y axes are in horizontal and vertical directions respectively.The horizontal range of the particleis

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

If vec a*hat hat i=vec a*(hat i+hat j)=vec a*(hat i+hat j+hat k)=1 then vec a=

If vec a*hat i=vec a*(hat i+hat j)=vec a*(hat i+hat j+hat k) then find the unit vector vec a

1fvec a=(hat i-3hat j-5hat k),vec b=(-3hat i+2hat j+7hat k),vec c=(2hat i-hat j+hat k) then find (vec a+vec b+vec c)

If vec a=2hat i-2hat j+hat k,vec b=2hat i+3hat j+6hat k and vec c=-hat i+2hat k then find the magnitude and direction of the vector vec a-vec b+2c

vec a=hat i+hat j+hat k,vec b=2hat i-hat j+3hat k and vec c=hat i-2hat j+hat k find a unit vector in a direction parallel to vector (2vec a-vec b+3vec c)

A particl leaves the orgin with an lintial veloity vec u = (3 hat I ) ms &(-1) and a constant acceleration vec a= (-1.0 hat i-0 5 hat j)ms^(-1). Its velocity vec v and positvion vector vec r when it reaches its maximum x-coosrdinate aer .

If vec a=5hat i-hat j-3hat k, and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

Show that the points A,B and C with position vectors,vec a=3hat i-4hat j-4hat kvec b=2hat i-hat j+hat k and vec c=hat i-3hat j-5hat k respectively form the vertices of a right angled triangle.

Find the sum of vectors vec a=hat i-2hat j+hat k,vec b=-2hat i+4hat j+5hat k and vec c=hat i-6hat j-7hat k