Adding, Subtracting, Scalar Multiplying Vectors

Front

If vector a= (4, -5) and vector b= (-7, 4), find 2a-3b.

Back

(29, -22)

Front

A quantity described by magnitude and does not need direction.

Back

Scalar

Front

A quantity that needs both magnitude and direction to be fully described.

Back

Vector

Front

Which vector equation matches the vector operation shown in the diagram below? (u-v=w, u-v=-w, u+v=w, v+u=-w)

Back

v+u=-w

Front

Find the resultant vector of the vectors (1, 2) and (2, 3).

Back

(3, 5)

Front

What is the scalar multiplication of vector (3, 4) by 2?

Back

(6, 8)

Front

What is the result of adding vectors (1, 2) and (3, 4)?

Back

(4, 6)

Front

If vector u = (2, 3) and vector v = (4, -1), what is u - v?

Back

(-2, 4)

Front

Define a vector in mathematical terms.

Back

A vector is an ordered pair (or tuple) of numbers that represents a quantity with both magnitude and direction.

Front

What is the geometric interpretation of vector addition?

Back

The geometric interpretation of vector addition is the 'tip-to-tail' method, where the tail of one vector is placed at the tip of another.