#### Math - 2018-19

# MA.7 - Vectors

MA.7The student willperformoperations with vectors in the coordinate plane andsolvepractical problems using vectors.

*Adopted: 2016*

### BIG IDEAS

### UNDERSTANDING THE STANDARD

· Every vector has an equal vector that has its initial point at the origin.

· The magnitude and direction of a vector with the origin as the initial point are completely determined by the coordinates of its terminal point.

· Every nonzero vector has a corresponding unit vector, which has the same direction as the vector but a magnitude of 1.### ESSENTIALS

**The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to**

·
MA.7_{1} **Use**
vector notation.

·
MA.7_{2} **Perform**
the operations of addition, subtraction, scalar multiplication, and inner (dot)
product on vectors.

·
MA.7_{3} **Graph**
vectors and resultant vectors.

·
MA.7_{4} **Express**
complex numbers in vector notation.

·
MA.7_{5} **Identify**
properties of vector addition, scalar multiplication, and dot product.

·
MA.7_{6} **Determine**
the components of a vector.

·
MA.7_{7} **Determine**
the norm (magnitude) of a vector.

·
MA.7_{8} **Use**
vectors in simple geometric proofs.

·
MA.7_{9} **Solve**
problems, including practical problems, using vectors.

### KEY VOCABULARY

*Updated: May 29, 2018*