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A: Given forces, Fx = 6.23N Fy = - 2.38N So the angle made with the positive x axis is given by -
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A: The solution can be given as follows :-
Force F1 = 10 N @ 30∘∘ and force F2 = 8N @ 270∘∘. Calculate the direction of F1 + F2.
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- At what angle does the force F, where Fx = 6.23N and Fy = – 2.38N, makes with the positive x-axis? 40.2 degrees 42.2 degrees 41.3 degrees 39 degreesFor the following three vectors, what is 2⋅C→⋅(3A→×B→)? A=300i+300j-300k B=-300i+3.00j+4.00k C=8.00i-9.00jFor 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 − 8.00j
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- The vector sum of four displacement vectors is 500 km, 30° W of N. Three of the four displacement vectors are 100 km, 60° N of E; 200 km, S; and 300 km, 50° W of S. Determine the magnitude and direction of the fourth displacement vector.An airplane left an airport and flew 105 mi in the direction of N 50.4000 deg E, then turned and flew 493 mi in the direction of S 11.9000 deg E. How far (mi) and in what direction should it return to the the airport?)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+2j
- Given u = 144i − 17j, what are the magnitude and direction of −3u? Round to the nearest whole number. a 145; 97° b 145; 276° c 435; 173° d 435; 353° Vector v has a magnitude of 80 and a direction θ = 60°. What are the magnitude and direction of 4v? a 20; 240° b 80; 60° c 320; 240° d 320; 60°What is the vector A= i+2j+3k B= 4i+5j+6kGiven the two vectorsA=-8i,-4j,-6k and B=2i,+3j,-7k, find (a) A+B, (b)A-B, and (c)-4A (d)A•B (e)AxB (f)and angle between vectors A and B.