VECTORS WORKSHEETS pg 1 of 13 VECTORS

1 VECTORSO bjectivesStudents will be able to:1 Define Sine, Cosine and Tangent in terms of the opposite, adjacent and hypotenuse of a Use the above trig functions to finds angles and right triangle side Define a vector in a Describe a vector s two main Define a scalar in a Give examples of VECTORS and able to identify if two VECTORS are equal8 Graphically show the result of multiplying a vector by a positive Graphically show the result of multiplying a vector by a negative Graphically add Graphically subtract Graphically add.

2 Subtract and multiply VECTORS by a scalar in one Given a graphical representation of a vector equation, come up with the Calculate the magnitude of any vector s horizontal and vertical Draw a vector s horizontal and vertical Use trig to calculate a vector s Calculate a VECTORS direction as a degree measurement combined with compass Calculate a vector s magnitude using trig or Pythagorean Add and subtract VECTORS by their WORKSHEETSpg 1 of 13 ABCA + B = R1D2A12A-4C-12DA + 2B + 12C = R3A + 4C = R2A - C = R4B - A = R52C - B = R62C - A - B = R7 For the VECTORS below, calculate the vector s magnitude.

3 And 1 SECTION 2 SECTION 3 SECTION 4 VECTORS WORKSHEETSpg 2 of 13 For each vector drawn below on a coordinate axis, label the shown with it proper compass headings, N of W, S, S of E, etc. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 VECTORS WORKSHEETSpg 3 of 13 For each vector drawn below, calculate its magnitude and direction. NOTE: For the vector s direction, there will be two possible correct answers for each problem.

4 The two answers are complimentary to each 3435363738394041424344454647484950515253 545556 VECTORS WORKSHEETSpg 4 of 13 VECTORS - GRAPHICAL MEANSFIND THE RESULATANTS, (R#):A + B = R1, B + C = R2, E + D = R3, A - B = R4, B - D = R5, E - C = R6,A + B + D = R7, E + A + C = R8, A + (-B) = R9, -B + C + (-D) = R10, E - A + C - D = R11, VECTORS WORKSHEETSpg 5 of 13 Adding by vector Componants40 55 10 m/s8 m/s25 10 15 m/s8 m/s1244 40 7 N3 N333 10 m8 m4 VECTORS WORKSHEETSpg 6 of 13 Adding by vector Componants50 10 m/s8 m/s550 20 3 N650 15 9 m/s28 m/s2710 m/s4 m/s810 N35 15 m/s72 6 N8 m/s243 5 m/s13 m/sVECTORS WORKSHEETSpg 7 of 13 Basic Math by vector ComponantsFIND THE RESULATANT S LENGTH AND ACUTE ANGLE WITH THE HORIZONTAL FOR EACH R#.

5 A + B = R1, B + C = R2, E + D = R3, A - B = R4, B - D = R5, E - C = R6,A + B + D = R7, E + A + C = R8, A + (-B) = R9, -B + C + (-D) = R10, E - A + C - D = R11, ABCDE = = = 7 = Magnitude Direction OR Direction R12 17 = N of E of N R22 13 = N of W of N R3 5 = S of W of S R42 41 = W of S of W R517 N of E of N R611 Due East ---- R71 Due West ---- E of S of E R92 41 = W of S of W R102 13 = W of S of WVECTORS WORKSHEETSpg 8 of 13 ABCDEFGHKJILMNOQPFind the missing 15 40 8 25 45 12 35 24 68 55 70 62 49 55 21 53 VECTORS WORKSHEETSpg 9 of 13 ABCDEFGHKJILMNOQPFind

6 The angle 10 VECTORS WORKSHEETSpg 10 of 13 ABCDEFGHKJILMNOQPFind the missing variable10 53 41 73 23 54 57 73 45 VECTORS WORKSHEETSpg 11 of 13 ABCA + B = R1D2A12A-4C-12DA + 2B + 12C = R3A + 4C = R2A - C = R4B - A = R52C - B = R62C - A - B = R7 For the VECTORS below, calculate the vector s magnitude, and 2BC1/2 CACBAB2C2CA2C-A2C-ABmag = = 45 N of Emag = = 45 S of Emag = = 45 N of Emag = = DUE SOUTHmag = = E of S = S of Emag = = N of E = E of N-4C12A2A-12D2 CABVECTORS WORKSHEETSpg 12 of 13R1R4R3R5R6R7R8R9R10R11R2 ANSWERSANSWERSVECTORS WORKSHEETSpg 13 of 13