i need to solve this problem in ten ways: prove that the following points in R^3 ,are collinear ,i.e,they are located on a straight line : A=(2,1,4), B=(1,-1,2), C =(3,3,6).

4 years, 7 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

OK , Mr/ Calvin Lin i know 7 ways or 8, and they are : 1-Length's method 2-Cross product method 3-Box product 4-Slope method 5-Rank method 6-Buchhate formula 7-shoelace method (surerya's method) :) 8-reduce shoelace method .( but it is just abridgment to number (8)). and that is what i know ......

- 4 years, 7 months ago

Here's another method. Show that $$A$$ is the midpoint of line segment $$BC$$.

Staff - 4 years, 7 months ago

actually i don't agree with you Mr/ jatin yadav, because doctor gave us seven ways to solve it and i still need three ways to complete ten :( .

- 4 years, 7 months ago

I believe that there can not exist $$10$$ ways for this one, and i can think of only 1, i.e. equating the direction cosines of the line segments.

- 4 years, 7 months ago

What have you tried?

Since you want 10 ways, how many have you already come up with? If you list them out, others will be more likely to chime in with different approaches that they have used.

Staff - 4 years, 7 months ago