Choose a point in the first quadrant, and give three different rectangular representations for that point. For my point i chose (2, pi/3). The first rectangular representation i found was (1, square root of 3). How would i find two more rectangular representations of (2, pi/3) if i can even use that as a point?

Can you help with the second one. I have done the math several times and I always end up with 7.44. It's close to 7.44 (within ten per the guidance of the question.)  It is not 82 degrees.

Given the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)

Identify the error in this "proof" that 2 = 1.  (It becomes blatantly obvious if one sets B equal to a number.) Let A = B A2 = AB A2 - B2 = AB - B2 (A - B)(A + B) = (A - B)B A + B = B 2B = B 2 = 1

For a circular velocity profile of the type Θ(r)=αr3/10Θ(�)=��3/10, where α� is a constant and r� is the radial distance from the centre of a spiral galaxy, find the ratio κ(r)/Ω(r)�(�)/Ω(�), where κ(r)�(�) is the epicyclic frequency and Ω(r)Ω(�) is the angular velocity. Enter your answer to 2 decimal places.

2.3 Represent a crystallographic direction by Au ua₁ + a₂ + wa, and the normal to the hkl planes by Hat = hb₁ + kb₂ +/b₂. Let be the angle between Auew and Hat For the orthorhombic system deduce an expression for cos in terms of u, v, w, h, k, l, a₁, ag, az. =