HS.N.13(+)

Perform operations with vectors (addition, subtraction and multiplication by a scalar). (MP.3, MP.7)

HS.N.13(+).aAdd 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.HS.N.13(+).bGiven two vectors in magnitude and direction form, determine the magnitude and direction of their sum.HS.N.13(+).cUnderstand 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. Represent vector subtraction graphically by connecting the tips in the appropriate order and perform vector subtraction component-wise.HS.N.13(+).dRepresent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise.HS.N.13(+).eCompute the magnitude of a scalar multiple cv using ||cv||=|c|v. Compute the direction of cv knowing that when |c|v≠0, the direction of cv is either along v (for c>0) or against v (for c<0).
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