Arkansas: V Math Standards

V.3

• V.3.ATMM.1 Recognize vector quantities as having both magnitude and direction; represent vector quantities by directed line segments and use appropriate symbols for vector and their magnitudes (e.g., v,|v|,||v||,v)
• V.3.ATMM.2 Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point
• V.3.ATMM.3 Solve problems involving velocity and other quantities that can be represented by vectors
• V.3.ATMM.4 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 magnitudes
• V.3.ATMM.5 Determine the magnitude and direction of the sum of two given vectors in magnitude and direction form
• V.3.ATMM.6 Understand vector subtraction; v - w as v + (-w), where –w is the additive inverse of w, with the same magnitude as w pointing in the opposite direction; represent vector subtraction graphically by connecting the tips in the appropriate order and perform vector subtraction component-wise
• V.3.ATMM.7 Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise [e.g., as c(vx,vy) = (c vx ,c vy)]
• V.3.ATMM.8 Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v; compute the direction of cv knowing that when the |c|v ≠ 0, the direction cv is either along v (for c > 0 ) or against v (c < 0)