Sunday

February 1, 2015

February 1, 2015

Posted by **Babanla** on Monday, April 16, 2007 at 8:05am.

v= -i+3j=4k, and w=4i-2j-6k can form the sides of a triangle

They will form a triangle if they are linearly dependent, that is, if

(3,1,-2)= m(-1,3,4) + n(4,-2,-6)

from which we get 3 equations in two unknowns.

-m + 4n = 3 #1

3m - 2n = 1 #2

4m - 6n = -2 #3

let's solve #1 and #2

double #2 plus #1:

-m + 4n = 3

6m - 4n = 2

------------

5m = 5

m=1

back in #1, n=1

substitute those values in #3 which we have not used.

Left side = 4m - 6n

=4 - 6

= -2

= right side

Therefore they are linearly dependent and thus can form a triangle

**Answer this Question**

**Related Questions**

Math - Prove that vectors u, v and w are coplanar if and only if vectors u, v ...

Advanced Maths (Vectors) AQA Level - Triangle ABC with D, E and F the midpoints ...

Advanced Maths (Vectors) AQA Level - Triangle ABC with D, E and F the midpoints ...

Maths-Vectors Help! - Please can you help me as I have just been introduced to ...

Math - For which real values of x do the following vectors form a linearly ...

math - If A^TA is an invertible matrix, prove that the column vectors of A are ...

math - Prove with vectors that for every triangle the lenght of one side is ...

Linear Algebra - Prove that If a vector space is of dimension n and a set of ...

Maths(help me plz..! - The sides of a triangle are of lenths x*-y*, x*+y* and ...

math - Find the least squares approximation of x over the interval [0,1] by a ...