If three points are `A(-2,1)B(2,3),a n dC(-2,-4)` , then find the angle between `A Ba n dB Cdot`

If A(-2,1),B(2,3) and C(-2,-4) are three points,find the angle between BA and BC.

If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ (4,\ 5,\ 7),\ (-4,\ 3,\ -6)\ a n d\ (2,\ 9,\ 2) respectively then find the angle between the lines A B\ a n d\ C Ddot

Tangent and normal are drawn at the point P-=(16 ,16) of the parabola y^2=16 x which cut the axis of the parabola at the points Aa n dB , rerspectively. If the center of the circle through P ,A ,a n dB is C , then the angle between P C and the axis of x is (a)tan^(-1)(1/2) (b) tan^(-1)2 (c)tan^(-1)(3/4) (d) tan^(-1)(4/3)

If A( vec a),B( vec b)a n dC( vec c) are three non-collinear points and origin does not lie in the plane of the points A ,Ba n dC , then point P( vec p) in the plane of the A B C such that vector vec O P is _|_ to planeof A B C , show that vec O P=([ vec a vec b vec c]( vec axx vec b+ vec bxx vec c+ vec cxx vec a))/(4^2),w h e r e is the area of the A B Cdot

If A = [(-1),(2),(3)],B = [(3,1,-2)] , find B'A'

If A=(1 2 3-1)a n dB=(1 3-1 1), write the value of |A B| .

Find the coordinates of the vertices of a square inscribed in the triangle with vertices A(0,0),B(2,1)a n dC(3,0); given that two of its vertices are on the side A Cdot

Find the angle between the plane: 2x-y+z=4\ a n d\ x+y+2z=3

Find the angle between the plane: 2x-3y+4z=1\ a n d-x+y=4.

Let A-=(6,7),B-=(2,3)a n dC-=(-2,1) be the vertices of a triangle. Find the point P in the interior of the triangle such that P B C is an equilateral triangle.