7) Use Mathematica to verify the parallelogram law in R3 for any pair of vectors u and i llũ + ||? + llữ – T||? = 2 ||ū||? + 2||||? %3D
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- determine the magnitude and orientation theta of FB so that the resultant force is directed along the positive y axis and has a magnitude of 1500N.2) Consider the two vectors à = Agî + Ayĵ and B = Bzî + Byf. If î · î = ĵ • j = 1 and î ·j = j • î = 0, prove algebraically that à · B = A,Bx + A,By.Given these vectors: A = (-7.3)î + (3) + (5.4)k B = (6.6)î + (3.5)ĵ + (6.1)k č = (-1.7)î + (2.8)ĵ + (9.6)k Find (2Ä – B) · Č. %3D %3D Find the angle 60 between these two vectors: A = (6.5)î + (2.6)ĵ B = (8.3)î + (5.1)} %3D
- 1If [x, p]=in and π = _—_p²+ -—-k x², , evaluate the commutator [.]. 2m 00 O O P m iħ 2m -P ħ iħ ħ m 2m iħ m 2m -P -P -P iħ mDisplacement d1 is in the yz plane 59.9° from the positive direction of the y axis, has a positive z component, and has a magnitude of 3.39 m. Displacement d2 is in the xz plane 20.8° from the positive direction of the x axis, has a positive z component, and has magnitude 1.02 m. What is the angle between d1 and d2?
- Please Help me46. ECHALK The three displacement vectors in the drawing have mag- nitudes of A = 5.00 m, B = 5.00 m, and C= 4.00 m. Find the resultant (magnitude and directional angle) of the three vectors by means of the com- ponent method. Express the directional angle as an angle above the positive or negative x axis. PROBLEM 46 Ä 20.0° C B 60.0⁰ +1Three vectors à = A½î + 6ĵ – 3k, B = -2î + By} – 3k and Č = î + 3j + C,k obey the condition Ả – 2B + 3Č = j. The unknown scalar components Ax, By and Cz are %3D