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Subject Test Math 2

Question 5 of 28

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SAT Subject Test

The figure shows two vectors O A and O B in the x y plane with origin labeled O. Vector O A extends from the origin O upward and to the right and ends at the point A with coordinates 4 comma 3. Vector O B extends from the origin O upward and to the right, between vector O A and the x-axis, and ends at the point B with coordinates 8 comma 4.  Vector O A.  Vector O B.

In the figure above, when stack O B with rightwards arrow on top is subtracted from stack O A with rightwards arrow on top, what is the length of the resultant vector?

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3

Correct Answer: 
No

4.1

Correct Answer: 
Yes

5

Correct Answer: 
No

8.9

Correct Answer: 
No

13.9

Correct Answer: 
No

The resultant of stack O A invisible times with rightwards arrow on top invisible times minus stack O B with rightwards arrow on top can be determined byleft parenthesis 4 comma 3 right parenthesis invisible times minus left parenthesis 8 comma 4 right parenthesis invisible times equals left parenthesis 4 invisible times minus 8 comma 3 minus 4 right parenthesis equals left parenthesis negative 4 comma negative 1 right parenthesis. The length of the resultant is:

 

 

Question Difficulty: 
medium