Q NO .3 AND 4 EXERCISE 2.4

Six charges , q_1 = +1 mu C , q_2 = +3 mu C , q_3 = +4 mu C , q_4 = -2 mu C , q_5 = -3 mu C and q_6 = -3 mu C are placed on a sphee of radius 10 cm. The potential at centre of sphere is

If the mid-points P, Q and R of the sides of the Delta ABC are (3, 3), (3, 4) and (2,4) respectively, then Delta ABC is

(p^^~q) is logically equal to 1. p -> q 2. ~ p->q 3. p -> ~ q 4. ~(p ->q)

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : 3x - y = 23 (x)/(3) + (y)/(4) = 4

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (4/3,3) (b) (3,2/3) (3,4/3) (d) (4/3,2/3)

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are a. (4/3,3) b. (3,2/3) c. (3,4/3) d. (4/3,2/3)

Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, 2) .

Find the vector joining the points P(2, 3, 0) and Q( 1, 2, 4) directed from P to Q.

Given that P (3, 2, 4) , Q (5, 4, 6) and R (9, 8, 10) are collinear. Find the ratio in which Q divides PR.

Let p and q be the position vectors of P and Q respectively with respect to O and |p| = p, |q| = q . The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If vec( OR) and vec(OS) are perpendicular, then (A) 9p^2=4q^2 (B) 4p^2=9q^2 (C) 9p=4q (D) 4p=9q