Let vector u = (a, b) and vector v = (c, d). If the vectors are located as shown in the graph, then
A) ab = -cd
B) ac = -bd
C) a + b = c + d
D) a + d = b + c

Let vector u a b and vector v c d If the vectors are located as shown in the graph then A ab cd B ac bd C a b c d D a d b c class=

Respuesta :

We have the following vectors:
 u = (a, b)
 v = (c, d)
 We observe that the vectors form an angle of 90 degrees.
 Therefore, the product u.v is equal to zero.
 We have then:
 u.v = (a, b). (c, d) = 0
 u.v = ac + bd = 0
 ac = -bd
 Answer:
 
B) ac = -bd