Vector Addition of differing quantities

[ilackinsight]

My girlfriend had this problem on her first tutorial sheet at Univeristy. She is doing maths. I am doing physics and was interested in the answer.
It asked what the result was when a displacement vector was added to a velocity vector. The vector addition can obviously be done on these two quantities, but does the end answer actually mean anything? I would think it would be meaningless

Thanks.
Tom.

 

[HallsofIvy]

No need to go to vectors to talk non-sense! What 3 feet plus seven dollars? What is 4 mi/hr+ 3 seconds? What is 2 degrees Celcius+ 5 gallons?
See we can all play!

The only good answer to the question posed is "a meaningless quantity"!

 

[quicknote]

Hi Tom,

I can assure you that the vector addition of differing quantities does indeed have a meaningful result. In this case, when a displacement vector is added to a velocity vector, the result is a new vector that represents the total displacement of an object, taking into account both its initial displacement and its change in position due to its velocity. This concept is essential in physics as it allows us to accurately describe and analyze the motion of objects in space.

Additionally, vector addition is a fundamental mathematical operation that is used in various fields of science, including physics and mathematics. It follows specific rules and principles that allow us to manipulate and understand the relationships between different quantities.

I hope this clarifies any confusion and shows the importance of vector addition in scientific research. Best of luck to you and your girlfriend in your studies!

Best,