T.3.PC.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.T.3.PC Students will develop and apply the definitions of the six trigonometric functions and use the definitions to solve problems and verify identities.Work with matrices as transformations of vectors. NQ.2.PC.6 Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector.
Compute the direction of c v knowing that when | c| v ≠ 0, the direction of c v is either along v (for c > 0) or against v (for c < 0). Compute the magnitude of a scalar multiple c v using || c v|| = | c| v. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction Perform scalar multiplication component-wise, e.g., as c( v x, v subscript y) = ( c v x, c v subscript y). NQ.2.PC.5 Multiply a vector by a scalar.
Perform vector subtraction component-wise. Represent vector subtraction graphically by connecting the tips in the appropriate order. Understand vector subtraction v – w as v + (– w), where – w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. Add vectors end-to-end, component-wise, and by the parallelogram rule.
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