Find the position vector of a point which divides the join of points with position vectors and externally in the ratio 2 : 1.
Using derivative, find the approximate percentage increase in the area of a circle if its radius is increased by 2%.
Write a unit vector in the direction of vector where and are the points (1, 3, 0) and (4, 5, 6),respectively,
If m and n are the order and degree, respectively of the differential equation = sin x, then write the value of m + n.