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 produce a resultant vector. It is done by adding the corresponding components of the vectors.

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 = (4, -5) and vector b = (-7, 4), what is 2a - 3b?

Back

(29, -22)

Front

When subtracting two vectors a - b = c, what does b - a produce?

Back

It produces the vector -c, which points in the opposite direction.

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: a + b = b + a.

Front

What is the associative property of vector addition?

Back

The associative property states that when adding three or more vectors, the grouping does not affect the resultant: (a + b) + c = a + (b + c).

Front

What is the magnitude of a vector?

Back

The magnitude of a vector is its length, calculated using the Pythagorean theorem for its components.

Front

What does it mean for vectors to be equal?

Back

Two vectors are equal if they have the same magnitude and direction.

Front

What is the resultant vector?

Back

The resultant vector is the vector that results from adding two or more vectors together.

Front

If vector u + vector v = vector w, what is the equation for vector w?

Back

w = u + v.