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- For the following three vectors, what is 3⋅C→⋅(2A→×B→) ?A→=4.00î+2.00ĵ-3.00k̂B→=-3.00î+4.00ĵ+3.00k̂C→=6.00î-8.00ĵFor the following three vectors, what is 3C · (2 A✕B )? A= 2.00i + 3.00j − 7.00k B= −3.00i + 7.00j + 2.00k C= 3.00i − 8.00jTwo vectors are given by a = 1.5î−4.0ĵ and b = −11.9î + 8.1ĵ. What is the magnitude of b? i already found out magnitude of b is 1.44 but how to calculate the angle between vector b and the positive x-axis?
- )The polar coordinate of (r, θ ) of a Cartesian coordinate (-3.5,-2.5) is: a) (4.3, 216o ) b) (10, 100o ) c) (120, 17o ) 4)Two vectors are given as a= i +2j+2k and b=2i+4j+2k . Vector c which satisfies the relation a-b+c=3i is: a) i+3j b) –i +j c) -i+5j d) 4i+2jDemonstrate the sides of the triangle in terms of vector. Please refer to the given. Given: AB=| (AXB dot C) | BC=| (BXC dot A) | AC=(A dot B) | A=2i + 4j + 4k m B=2i + 4j. m C=13.12i + 9.84j ft DETERMINE: a. Angle of A, B, CConsider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B? b. What is the angle of the vector 3A+B, measured counterclockwise in degrees from the positive x-axis?
- The magnitudes of the vectors are A = 10.9, B = 4.8, C = 11.6, D = 18.7, and F = 18.7. The angles, in degrees, are θA = 30.0, θB = 53.0, θC = 60.0, θD = 37.0, and θF = 30.0. What is the magnitude of |A × (F + 2C)|? What is the magnitude of |i × B|? What is the magnitude of |(B/B) × B|What is the angle between vectors u=−8i+j+12k and v=−6i+4j+2k. Select one: A. 22∘ B. 45∘ C. 150∘ D. 102∘Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i + 4.0j, E = -2.0i + 3.0j + 2.0k, F = -9.0j. What is A × B? Give your answer in the form of "ai + bj + ck". What is B × A? Give your answer in the form of "ai + bj + ck". What is C × D? Give your answer in the form of "ai + bj + ck". What is F × E? Give your answer in the form of "ai + bj + ck".
- Here are three vectors in meters:d→1=-3.70î+7.00ĵ+1.40k̂d→2=-2.00î-4.00ĵ+2.00k̂d→3=2.00î+3.00ĵ+1.00k̂What results from (a) d→1⋅(d→2+d→3), (b) d→1⋅(d→2×d→3), and d→1×(d→2+d→3) ((c), (d) and (e) for î, ĵ and k̂ components respectively)?Consider the two vectors,A = 14x + 35.5yB = 5.2x - 24.5y. What is the magnitude of 3A+BConsider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i + 4.0j, E = -2.0i + 3.0j + 2.0k, F = -9.0j. a)What is A × B? Give your answer in the form of "ai + bj + ck". b)What is B × A? Give your answer in the form of "ai + bj + ck". c)What is C × D? Give your answer in the form of "ai + bj + ck". d)What is F × E? Give your answer in the form of "ai + bj + ck".