10. Ã= -2â +-3ŷ and B = -4î +-4ŷ. Calculate R = Ã+B. Calculate 0, the direction of R. Recall that 0 is defined as the angle with respect to the +x-axis. А. 49.4° В. 130.6° С. 229.4° D. 310.6°
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- 18. True or False: a. A unit vector always has a magnitude of 1. b. A unit vector is unitless. 19. Given the vector P = 3î - 4ĵ+ 12k determine: = Unit vector along line of action of vector P, ûp= b. Direction cosine angles (degrees) for vector P, B = a. α = Y =If A · B = 0 and A x B = 0 what can we say about Aand B? Select one: а. None of the other options b. A is perpendicular to B c. A is proportional to B d. A is opposite to B e. A is parallel to B1. What is the magnitude of the resultant? 2. What is the angle describing the direction of the resultant relative to the positive x-axis?
- Convert the following Vectors given in polar coordinates (r, q) to the equivalent Vector in cartesian coordinates (x, y). Check significant figures. C = (12.0, 34) b. F = (5.00, 45.0o )5..Given: A: A = -16.7, A, = 37 B: Br= -0.4, By = -23.8 (a) Calculate the length and direction of A. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 0 A = (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = OB (c) Calculate the components of the vector sum of A + B = C: CT= F Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= Oc 0 = 0
- Please asapGiven the two vectors A = ( 5.5i - 3j) and B = (-9i - 8j) determine the following: A. Vector C = A + B in vector notation, it's magnitude and its direction counterclockwise from the +x-axis. B. Vector D = A - B in Vector notation, it's magnitude and its direction counterclockwise from the +x-axis.5. A hiker travels from camp through the forest. The hiker follows 3 trails and becomes lost. The first is 180 m due west. The second one is 210 m in a direction of 35.00 east of south. The third one is 280 m at 30.0° north of east. What are A) the distance and B) direction the hiker need to walk to return to the camp?
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