### N-VM: Vector and Matrix Quantities

#### N-VM.4: Add and subtract vectors.

N-VM.4.a: Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

N-VM.4.b: Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

#### N-VM.5: Multiply a vector by a scalar.

N-VM.5.a: Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as ??(???, ?? subscript ??) = (?????, ???? subscript ??).

#### N-VM.10: Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.

Correlation last revised: 2/10/2016

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.