The ratio in which the line joining the points `(a , b , c)a n d\ (-a ,-c ,-b)` is divided by the xy-plane is A.) `a : b` B.) `b : c` C.) `c : a` D.) `c : b`

The ratio in which the line joining the points (a,b,c)and(-a,-c,-b) is divided by the xy-plane is a:b b.b:c c.c:a d.c:b

In ______ ratio XY plane divides line segment joining points (a, b, c) and (-a, -c, -b).

If veca,vecb,vecc & vecd are position vector of point A,B,C and D respectively in 3-D space no three of A,B,C,D are colinear and satisfy the relation 3veca-2vecb+vecc-2vecd=0 then (a) A, B, C and D are coplanar (b) The line joining the points B and D divides the line joining the point A and C in the ratio of 2:1 (c) The line joining the points A and C divides the line joining the points B and D in the ratio of 1:1 (d)The four vectors veca, vecb, vec c and vecd are linearly dependent .

If the segments joining the points A(a , b)a n d\ B(c , d) subtends an angle theta at the origin, prove that : theta=(a c+b d)/((a^2+b^2)(c^2+d^2))

A B C D are four points in a plane and Q is the point of intersection of the lines joining the mid-points of A B and C D ; B C and A Ddot Show that vec P A+ vec P B+ vec P C+ vec P D=4 vec P Q , where P is any point.

A B C D are four points in a plane and Q is the point of intersection of the lines joining the mid-points of A B and C D ; B C and A Ddot Show that vec P A+ vec P B+ vec P C+ vec P D=4 vec P Q , where P is any point.

Let the positive numbers a , b , c , d be in AP. Then a b c ,a b d ,a c d ,b c d are

If the segments joining the points A(a , b)a n d\ B(c , d) subtends an angle theta at the origin, prove that : costheta=(a c+b d)/(sqrt((a^2+b^2)(c^2+d^2)))

If the segments joining the points A(a , b)a n d\ B(c , d) subtends an angle theta at the origin, prove that : cos theta=(a c+b d)/sqrt((a^2+b^2)(c^2+d^2))

If the segments joining the points A(a , b)a n d\ B(c , d) subtends an angle theta at the origin, prove that : costheta=(a c+b d)/sqrt((a^2+b^2)(c^2+d^2))