A small particle moves to position 5hat ...

A small particle moves to position `5hat i-2hat j+hat k` from its initial position `2hat i+3hat j-4hat k` under the action of force `5hat i+2hat j+7hat kN`.The value of work done will be ________J.

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The ratio in which hat i+2hat j+3hat k divides the join of -2hat i+3hat j+5hat k and 7hat i-hat k is

A particle is displaced from position vec(r )_(1) = (3hat(i) + 2hat(j) + 6hat(k)) to another position vec(r )_(2)= (14hat(i) + 13hat(j) + 9hat(k)) under the impact of a force 5 hat(i)N . The work done will be given by

Prove that point hat i+2hat j-3hat k,2hat i-hat j+hat k and 2hat i+5hat j-hat k from a triangle in space.

Points A and B have position vectors (5hat i-2hat j+4hat k) and (hat i+3hat j-7hat k) then find |vec AB|

A particle moves from position 3hat(i)+2hat(j)-6hat(k) to 14hat(i)+13hat(j)+9hat(k) due to a uniform force of 4hat(i)+hat(j)+3hat(k)N . If the displacement is in meters, then find the work done by the force.

The value of p so that vectors 2hat i-hat j+hat k , hat i+2hat j-3hat k and 3hat i+phat j+5hat k are coplanar is

Prove that the points hat i-hat j,4hat i-3hat j+hat k and 2hat i-4hat j+5hat k are the vertices of a right angled triangle.

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

Show that the points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

Show that the four points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

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