Question
In each of the following find the value of ' $k$ ', for which the points are collinear.(i) $(7,-2),(5,1),(3, k)$(ii) $(8,1),(k,-4),(2,-5)$
Step 1
The condition for three points $(x_1, y_1)$, $(x_2, y_2)$ and $(x_3, y_3)$ to be collinear is given by the determinant: $\frac{1}{2} [x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)] = 0$ Show more…
Show all steps
Your feedback will help us improve your experience
Anas Venkitta and 88 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find two values of $k$ such that the points $(-3,4),(0, k),$ and $(k, 10)$ are collinear.
Coordinate Geometry
Slope of a Line
Determine the value of $k.$ Points $(6,-1),(3, k),$ and (-3,-7) are on the same line.
Plane Analytic Geometry
Basic Definitions
For what value of $k$ do the four points (1,1,-1),(0,3,-2) $(-2,1,0),$ and $(k, 0,2)$ all lie in a plane?
Vectors and Coordinate Geometry in 3-Space
The Cross Product in 3-Space
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD