Test your understanding of vector addition and subtraction, including the properties of vector addition, the result of adding and subtracting vectors, and the differences between vector and scalar addition.

Created by

@DecentMachuPicchu

Study Flashcards Play Quiz

Download PDF

Make a copy

Study Flashcards Play Quiz

Questions and Answers

What is the result of adding two vectors of equal magnitude but opposite directions?

A zero vector

Which of the following is a correct property of vector addition?

Vector addition is both commutative and associative

What is the result of subtracting a vector from itself?

A zero vector

When adding two vectors, what happens to their magnitudes?

<p>The magnitudes add if the vectors are in the same direction, but subtract if they are in opposite directions</p> Signup and view all the answers

What is the difference between vector addition and scalar addition?

<p>Vector addition involves adding vectors, while scalar addition involves adding numbers</p> Signup and view all the answers

Study Notes

Vector Addition Properties

When adding two vectors of equal magnitude but opposite directions, the result is zero.
A correct property of vector addition is that the order of the vectors being added does not change the result.
Subtracting a vector from itself results in a zero vector.
When adding two vectors, their magnitudes do not necessarily add; instead, the resultant vector's magnitude is generally smaller than the sum of the individual magnitudes.
The key difference between vector addition and scalar addition is that vector addition takes into account both magnitude and direction, whereas scalar addition only involves the addition of magnitudes.