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How can I show that the lines between sets of points are perpendicular?

For example, A(6/5, 19/5), B(2, 9/5), C(5, 3). Show that the line segments AB and BC are perpendicular. Before we begin the question, it is a good idea to remind ourselves of the definition of two lines bein...
TD
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A=[5k,3k-1;-3,k+1] where k is a real constant. Given that A is singular, find all the possible values of k.

0.2, -3
DB
4154 Views

What is the value of x from (x+2)^2=4

(x+2)^2=4=>x+2=2+>x=0 or x+2=-2=>x=-4
AB
3248 Views

By forming and solving a suitable quadratic equation, find the solutions of the equation: 3cos(2A)-5cos(A)+2=0

3cos(2A)-5cos(A)+2=0. The first thing we do is use a trignometric identity, namely cos(2A) = 2(cos^2(A))-1. This gives us a new form of the original equation. 3(2(cos^2(A))-1)-5cos(A)+2=0: we expand out the ...
JB
3727 Views

The plane Π contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). What is the vector equation of the plane? and what is the cartesian equation of the plane?

Vector Equation So we know it contains three points so we can find two lines in the plane. 1) (1,2,3) + A((0,1,2) - (1,2,3)) = (1,2,3) + A(-1,-1,-1) 2) (1,2,3) + B((2,3,0) - (1,2,3)) = (1,2,3) + B(1,1,-3) Ge...
OO
6503 Views