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Point P is the endpoint of vector OP and...

Point P is the endpoint of vector OP and point Q is the endpoint of vector OQ. When the vectors `bar(OP)` and `bar(OQ)` are added, what is the length of the resultant vector ?

A

`1.41`

B

`2.24`

C

`2.65`

D

`3.00`

Text Solution

Verified by Experts

The correct Answer is:
B
The sum of vectors `vec(OP)` and `vec(OQ)` is equal to `(-3,7)+(4,-5)=(-3+4,7+(-5))=(1,2)`. Then `|vec(OP)+vec(OQ)|=sqrt(1^(2)+2^(2))=sqrt(1+4)=sqrt(5)~~2.24`.
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