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39 votes
100 pints help would be greatly appreciated

100 pints help would be greatly appreciated-example-1
User Edariedl
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2 Answers

17 votes
17 votes

The answer is (4, -2) hope this helps!

User Daniel Bubenheim
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17 votes
17 votes

Answer:

(4, -2) (see attached)

Explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

__

vector components

The components of the vectors are ...

u = (1, -2)

v = (-6, -6)

Then the components of the vector sum are ...

2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

2u -1/3v = (4, -2)

graphically

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.

100 pints help would be greatly appreciated-example-1
User Aelsheikh
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3.2k points