Question

Find a vector whose length is 2 which is orthogonal to the vector v=⟨2,1⟩

Answer 1

Step-by-step explanation:

unit vector

a

^

=

∣

a

∣

a

Given

a

=2

i

^

+3

j

^

+

k

^

∣

a

∣=

2

2

+3

2

+1

=

14

unit vector

a

^

=

14

2

i

^

+3

j

^

+

k

^

=

14

2

i

^

+

14

3

j

^

+

14

1

k

^

zero vector

0

=0

i

^

+0

j

^

+0

k

^