## Vector Addition - Exercise

The Vector Addition Concept Builder is comprised of 48 questions. The questions are divided into 12 different question groups. Questions in the same group are similar to one another; they each include the same questions to be added; only the order is different for questions in the same group. The Concept Builder is coded to select at random a question from each group until a student is successful with that group of questions.

There are three levels of difficulty by which the student can progress through the Concept Builder. Those three difficulty levels are differentiated as follows:

• Apprentice Level: Groups 1-4
• Masters Level: Groups 1-8
• Wizard Level: Groups 5-12

The questions from each group are shown below. Teachers are encouraged to view the questions in order to judge which level of difficulty is most appropriate for their classes. We recommend providing students two or more options. For instance, it would be profitable for a student to complete the Concept Builder at the Apprentice Level in order to gain some confidence and then to be challenged to complete the activity at the Masters Level.

The Physics Classroom grants teachers and other users the right to print these questions for private use. Users are also granted the right to copy the text and modify it for their own use. However, this document should not be uploaded to other servers for distribution to and/or display by others. The Physics Classroom website should remain the only website or server from which the document is distributed or displayed. We also provide a PDF that teachers can use under the same conditions. We have included a link to the PDF near the bottom of this page.

All questions in this Concept Builder are based on the following graphic:

Question Group 1

Question 1:               C + E + JJ = ???

Question 2:               E + JJ + C = ???

Question 3:               JJ + C + E = ???

Question 4:               C + JJ + E = ???

Question Group 2

Question 5:               B + CC + F = ???

Question 6:               CC + F + B = ???

Question 7:               F + B + CC = ???

Question 8:               B + F + CC = ???

Question Group 3

Question 9:               E + A + T = ???

Question 10:            A + T + E = ???

Question 11:            T + E + A = ???

Question 12:            T + A + E = ???

Question Group 4

Question 13:            W + L + C = ???

Question 14:            L + C + W = ???

Question 15:            C + W + L = ???

Question 16:            C + L + W = ???

Question Group 5

Question 17:            U + J + F + II = ???

Question 18:            J + F + II + U = ???

Question 19:            II + F + J + U = ???

Question 20:            F + U + J + II = ???

Question Group 6

Question 21:            FF + L + X + G = ???

Question 22:            L + FF + G + X = ???

Question 23:            X + G + FF + L = ???

Question 24:            G + X + L + FF = ???

Question Group 7

Question 25:            N + W + AA + X = ???

Question 26:            W + AA + X + N = ???

Question 27:            AA + X + N + W = ???

Question 28:            AA + N + W + X = ???

Question Group 8

Question 29:            Z + DD + H + W = ???

Question 30:            DD + Z + W + H = ???

Question 31:            H + W + Z + DD = ???

Question 32:            W + H + DD + Z = ???

Question Group 9

Question 33:            P + JJ + V + E + M = ???

Question 34:            E + M + P + V + JJ = ???

Question 35:            V + JJ + E + M + P = ???

Question 36:            JJ + V + M + P + E = ???

Question Group 10

Question 37:            S + FF + L + N + EE = ???

Question 38:            EE + FF + L + S + N = ???

Question 39:            S + EE + N + L + FF = ???

Question 40:            L + FF + N + S + EE = ???

Question Group 11

Question 41:            HH + E + N + DD + O = ???

Question 42:            E + HH + DD + O + N = ???

Question 43:            DD + O + N + E + HH = ???

Question 44:            DD + O + N + E + HH = ???

Question Group 12

Question 45:            V + GG + U + R + A = ???

Question 46:            R + U + GG + A + V = ???

Question 47:            V + A + R + U + GG = ???

Question 48:            R + A + GG + U + V = ???