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

0 votes

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

image
1
2
v
image
, |u + v|, |u v|,

and

|u| |v|.
u = 5i + 3j,    v = i 2j
|u|  = 
 
|v|  = 
 
|2u|  = 
 
image
1
2
v
image
 = 
 
|u + v|  = 
 
|u v|  = 
 
|u| |v|  = 
 

 

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

2 Answers

0 votes

(1)

Step 1:

The vectors are image and image.

Find image.

Magnitude of the vector is image.

The vector is image.

Substitute image in the magnitude formula.

image

Magnitude of the vector is image

Find image.

The vector is image.

Substitute image in the magnitude formula.

image

Magnitude of the vector is image

Find image.

Substitute image in image.

image

Magnitude of the vector is image

Find image.

The vector is image.

Substitute image in the magnitude formula.

image

Magnitude of the vector is image

Solution:

image

answered Apr 25, 2016 by Anney Mentor
0 votes

(2)

Step 1:

Find image.

Magnitude of the vector is image.

The vectors are and .

Substitute in the magnitude formula.

Magnitude of the vector is

Find image.

The vectors are and .

image

Substitute image in the magnitude formula.

image

Magnitude of the vector is image

Find image.

From (1) Substitute image and image in image.

image

Magnitude of the vector is image

Solution:

image

image

answered Apr 25, 2016 by Anney Mentor

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