Quarter 2 Independent Assignment Vector Addition and Subtraction

Front

What is vector addition?

Back

Vector addition is the process of combining two or more vectors to form a resultant vector. It can be done graphically by placing the tail of one vector at the head of another or algebraically by adding their corresponding components.

Front

If vector a = (4, -5) and vector b = (-7, 4), what is a + b?

Back

(-3, -1)

Front

What is the commutative property of vector addition?

Back

The commutative property states that the order of addition does not affect the resultant vector. For any vectors u and v, u + v = v + u.

Front

What is vector subtraction?

Back

Vector subtraction involves finding the difference between two vectors, resulting in a new vector. It can be visualized as adding a negative vector.

Front

If vector a = (3, 2) and vector b = (1, 4), what is a - b?

Back

(2, -2)

Front

When adding two vectors graphically, does the order of addition matter?

Back

No, two vectors added together always produce the same resultant vector regardless of the order.

Front

What is the resultant vector?

Back

The resultant vector is the vector that results from the addition of two or more vectors. It represents the combined effect of the original vectors.

Front

If vector a = (2, 3) and vector b = (4, -1), what is the resultant vector a + b?

Back

(6, 2)

Front

What does it mean to subtract vector b from vector a?

Back

Subtracting vector b from vector a (a - b) means to add the negative of vector b to vector a, resulting in a new vector.

Front

If a + b = c, does b + a also equal c?

Back

Yes, because vector addition is commutative.