If `bar a` is the position vector of A then the position vector of the foot of the perpendicular from A to the plane `bar r.bar b=bar b.bar c` is .

The position vector of the foot of theperpendicular from (1,-2,-3) to the line bar(r)=bar(i)+bar(j)+lambda(2bar(i)+bar(j)+bar(k)) is

The equation of the plane passing throug the point with position vector a and perpendicular to bar(b) is

Find the position vector of the midpoint of the line segment joining 3bar(a)+2bar(b)-c, bar(a)-4bar(b)+5bar(c) .

If the position vectors of the four points A, B, C, D are 2bar(a), bar(b), 6bar(b) and 2bar(a)+5bar(b) then ABCD is

If bar(a), bar(b), bar(c) are the position vectors of the vertices A, B, C of the triangle ABC, then the equation of the median from A to BC is

If bar(a), bar(b), bar(c) are the position vectors of the vertices A, B, C respectively of DeltaABC then find the vector equation of the median through the vertex A.

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) ,then the value of |bar(a)+bar(b)-bar(c)| is

In Delta ABC, if bar(a), bar(b), bar(c) are position vectors of the vertices A, B, and C respectively, then prove that the position vector of the centroid G is (1)/(3) (bar(a) + bar(b) + bar(c))