N-VM.5a

High school · High School: Number & Quantity — Vector & Matrix Quantities

Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).

Official code: CCSS.MATH.CONTENT.HSN-VM.5a
Short code: N-VM.5a
Subject: Mathematics
Grade: High school
Domain: High School: Number & Quantity — Vector & Matrix Quantities

More High school High School: Number & Quantity — Vector & Matrix Quantities standards

N-VM.1 (+) Recognize vector quantities as having both magnitude and direction. Represent... N-VM.10 10. (+) Understand that the zero and identity matrices play a role in matrix addition... N-VM.11 (+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable... N-VM.12 (+) Work with 2 × 2 matrices as transformations of the plane, and interpret the... N-VM.2 (+) Find the components of a vector by subtracting the coordinates of an initial point... N-VM.3 (+) Solve problems involving velocity and other quantities that can be represented by vectors. N-VM.4 (+) Add and subtract vectors. N-VM.4a Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that... N-VM.4b Given two vectors in magnitude and direction form, determine the magnitude and... N-VM.4c Understand vector subtraction v — w as v + (—w), where —w is the additive inverse of... N-VM.5 (+) Multiply a vector by a scalar. N-VM.5b Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the... N-VM.6 (+) Use matrices to represent and manipulate data, e.g., to represent payoffs or... N-VM.7 (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the...

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