Wednesday

August 27, 2014

August 27, 2014

Posted by **Anonymous** on Monday, February 25, 2008 at 8:39pm.

Using vectors, demonstrate that these points are collinear.

a)

P(15 , 10)

Q(6 , 4)

R(-12 , -8)

Vector PQ = (-9 , -6)

Vector QR = (-18 , -12)

Vector RP = (27 , -18)

(-9 / 27 / -18) = (-6 / -18 / -12)

Therefore, not collinear.

b)

D(33, -5, 20)

E(6, 4, -16)

F(9, 3, -12)

Vector DE = (-27, 9, -36)

Vector EF = (3, -1, 4)

Vector FD = (24, -8, 7)

(-27 / 3 / 24) = (9 / - 1 / -8) = (-36 / 4 / 7)

Therefore, not collinear.

- Math: Vectors - Collinear -
**Reiny**, Tuesday, February 26, 2008 at 12:21amno

Vector PQ = (-9 , -6)

Vector QR = (-18 , -12)

so vector QR = 2(-9,-6) = 2PQ

so P,Q and R are collinear since we were able to express them as a linear combination.

same thing in b)

notice that (-27,9,-36) = -9(3,-1,4)

- kmseaw fbnop -
**kmseaw fbnop**, Saturday, January 17, 2009 at 3:48amzhsicfn rcpeqd tfnvchzbo ohymq rsgvzqwyk jkwgaf atdvcm

**Related Questions**

Plz Check My Geometry - Out of 30 questions these few I struggled with. I put ...

Plz Check My Geometry - Out of 30 questions these few I struggled with. I put ...

Math - Equations of plane(check) - Consider the plane that contains points A(2,...

Math - Equations of plane(check) - Consider the plane that contains points A(2,3...

Math - explanation - This is an example in the text book. Using vectors, ...

English - Now, let's check how well you can use the expressions you've learned. ...

geometry - Please help me to draw this figure four points that are not collinear...

Plz Check my Geometry(sOo0n) - 1.) Given points A(-4, 5), B(2, 3), C(0, 4) and D...

English - You are going to take a quiz. I'll distribute exam papers. You should...

math - this problem seems with too many numbers that i don't know where to start...