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- One of the following is the vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where i, j and k are unit vector %D %3D A. -124i + 88j - 4k B. -24i + 88j - 4k C. -12i + 88j - 4k D. -124i + 88j - 14kTwo vectors have the following magnitude, A = 11.6 m and B = 14.3 m. Their vector product is: AxB = -2.7 m i+ 13.2 m k. %3D What is the angle (in degrees) between the vectors A and B? Hint: Use |AxB| = AB sin(0) Note: Bold face letters represents a vector.Consider the array of vectors in the figure below. +y B. A I. K H N 1. À + B + Č + D + Ē + F + Ġ +Ĥ = Ï? A. TRUE. B. FALSE. %3D 2. Vector F has scalar x component equal to zero? A. TRUE. B. FALSE. 3. Ñ - F = L ? B. FALSE. A. TRUE. 4. D| = -|| A. TRUE. B. FALSE. 5. |Ħ - R| = |J| ? B. FALSE. A. TRUE. %3D 6. The vector H + G has a negative x component and a positive y component? A. TRUE. B. FALSE. 7. C|-|0|=-| B| ? B. FALSE. A. TRUE. 1E 10 1M 10
- 4G li. 12:23 SDD1-4E7C-44C7-A86A-F33B0962698C.j → ... 8. Find the vector product of two vectors A = 50 and B| = 20, with an angle between them is 45°.Given the vectors P = 2i + j+ 2k, Q = 31 + 4j – 5k, and S = -4i + j- 2k, compute the following: C. Mixed Triple products 1. S: (РxQ) 2. Q. (S x P) 3. Р- (QxS) A. Scalar products B. Vector products 1. P.Q 1. РхQ 2. P.S 2. РxS 3. Q.S 3. QxP 4. QxS 5. SxP 6. Sx QIf A C -12.2, A 31-43, and C = 6.5, the angle between the two vectors when they are drawn starting from the same point is Select one: a. 112° O b. 122° С. 1020 d. 92°
- Problem 1: Let A = î - 2ĵ and B = 2î + ĵ. Compute A.B. Problem 2: Let A = î - 2ĵ and B = 2î + ĵ. Compute A. (A + B). 1 Problem 3: Using the dot product, compute the angle between vectors C and D. C = 2î + 3ĵ D = 3î - 5ĵEvaluate an area of a surface where the vector that is normal to the surface is defined as; a. R = 4yz az for 1Given the following vectors: S = 3i -j+ 5k %3D P = 2i + 4j - 6k +9K Q = -7i + 2j + 9k %3D Obtain the following operations: 1. SxS 2. P.P 3. Q.(Q × Q)Consider three vectors: What is the result of 2A. (B-3C)? What is the result of A A+B B + C. C? . A.A+B B+C . C = || A = (9.71) î+ (1.12) Ĵ B = (7.28) + (5.54); C = (-2.95) + (-14.7);1. Find the dot products of the vectors in the following diagrams: a. C. 20 70° 15 65 85 7 8 5 8 35 b. d. 34 5 60 35 73 50 8 50 2. Find the cross products of the vectors in the diagram above. 3. Given the following vectors, find their sum, difference, dot product and cross product. A = 2î + 7î + 4k B= -5î + 3j – 6kProblem: Vector F1 = 625 N makes an angle of 270° when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120° angle from Vector F1 when rotated counterclockwise. Find the following: 1. What is the value for Rx? A. 700 N B. 757.8 N C. 900 N 2. What is the value for Ry? A. -187.5 N B. 200 N C. +187.5 N 3. What is the direction of the vector needed to balance the two forces? A. 0° B. 186° C. -32° D. 166° E. 270° F. -31° G. -180° Answer all the questions please I'll give rate.SEE MORE QUESTIONS