|
EXAMPLE 16: If  Find 3v + 4u and
|3v + 4u|
Solution:
EXAMPLE 17 : u = (3,-2)
v = (4,8) . Find a unit vector in the same direction of vector
(v - u)
Solution:
EXAMPLE 18 : u = (4,2) ,
v = (3, -6) Show that u and v are orthogonal vectors.
Solution:
u.v = (4) (3) + (2) (-6) = 0
\ u and v are orthogonal vectors.
EXAMPLE 19 : u = (1, -2 ) and
v = (4, 7) Find the cosine of the angle between
u and v.
Solution:
Let a be the acute angle between u and v, then
|
