SOLUTION: True or False: If v(1) = < a,-b > and v(2) = < -b,a > ,then v(1) and v(2) are perpendicular.

Algebra ->  Vectors -> SOLUTION: True or False: If v(1) = < a,-b > and v(2) = < -b,a > ,then v(1) and v(2) are perpendicular.      Log On


   

Question 980942: True or False:
If v(1) = < a,-b > and v(2) = < -b,a > ,then v(1) and v(2) are perpendicular.
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Two vectors re said to be perpendicular if their dot product is zero.
if (a,b)dot(-b,a)=0,then,they ara perpendicular.
Then,
v1.v2= (a,b).(-b,a)
=-b.a + b.a
=-ba+ba
=0
The two vectors are
perpendicular
since v1dotv2=0
(TRUE)
Bravo!!!