Adding, Subtracting, Scalar Multiplying Vectors

Front

What is a vector?

Back

A quantity that has both magnitude and direction.

Front

What is a scalar?

Back

A quantity that has only magnitude and does not require direction.

Front

How do you find the resultant vector of two vectors?

Back

By adding the corresponding components of the vectors.

Front

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

Back

(-3, -1) is the resultant vector.

Front

What is the formula for scalar multiplication of a vector?

Back

Multiply each component of the vector by the scalar.

Front

If vector a = (4, -5), what is 2a?

Back

(8, -10) is the result of scalar multiplication.

Front

What is the result of 2a - 3b if a = (4, -5) and b = (-7, 4)?

Back

(29, -22) is the result.

Front

What does it mean to add vectors graphically?

Back

To place the tail of one vector at the head of another and draw the resultant from the tail of the first to the head of the last.

Front

What is the geometric interpretation of a vector?

Back

A directed line segment representing both magnitude and direction.

Front

How do you subtract vectors?

Back

By adding the negative of the vector to be subtracted.