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dont really know how to work this problem need help please lost

Find |u|, |v|, |2u|,

1

2

v

, |u + v|, |u − v|,

and

|u| − |v|.

u = −5i + 3j, v = i − 2j

|u|

=

|v|

=

|2u|

=

1

2

v

=

|u + v|

=

|u − v|

=

|u| − |v|

=

asked Apr 25, 2016 in PRECALCULUS by anonymous
reshown Apr 25, 2016 by goushi

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2 Answers

(1)

Step 1:

The vectors are and .

Find .

Magnitude of the vector is .

The vector is .

Substitute in the magnitude formula.

Magnitude of the vector is

Find .

The vector is .

Substitute in the magnitude formula.

Magnitude of the vector is

Find .

Substitute in .

Magnitude of the vector is

Find .

The vector is .

Substitute in the magnitude formula.

Magnitude of the vector is

Solution:

answered Apr 25, 2016 by Anney Mentor

(2)

Step 1:

Find .

Magnitude of the vector is .

The vectors are and .

Substitute in the magnitude formula.

Magnitude of the vector is

Find .

The vectors are and .

Substitute in the magnitude formula.

Magnitude of the vector is

Find .

From (1) Substitute and in .

Magnitude of the vector is

Solution:

answered Apr 25, 2016 by Anney Mentor

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