Question

Given vector u=(3,-5)

Answer 1

Ok, it is given, but what do you need to find?

Answer 2

Given:

∣

∣

→

v

∣

∣

=

5

We know the formula for the magnitude

∣

∣

→

v

∣

∣

=

√

x

2

+

y

2

[1]

This problem is made simple by the fact that the x component of the vector

→

u

is the same as the y component.

y

=

x

Substitute x for y into equation [1]:

∣

∣

→

v

∣

∣

=

√

x

2

+

x

2

[2]

Substitute 5 for the magnitude into equation [2]:

5

=

√

x

2

+

x

2

25

=

2

x

2

25

2

=

x

2

x

=

5

√

2

2

We know that

y

=

x

:

y

=

5

√

2

2

The vector is

<

5

√

2

2

,

5

√

2

2

>