Rectangular coordinates of a point are given by (2, y) and its polar coordinates are given by (r, π/6) . Find y and r.

Which of the following statements are correct? Adding two vectors creates a new "resultant" vector. When adding parallel vectors, the resultant vector is the sum of the magnitudes of the original vectors. When adding perpendicular vectors, the resultant vector is the sum of the magnitudes of the original vectors. Graphing calculators always report angles in degrees. Vectors pointing in different direction cannot be subtracted. A vector can be broken into x and y component vectors that sum to equal the original vector. Multiplying a vector by a scalar changes the vector's magnitude and direction.

1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Suppose you first walk A = 12 m in a direction 20° west of north and then B= 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. Keep all answers to 4 significant figures.

please solve (d)

Find a vector equation with parameter t for the line through the points (-1, –7, –4) and (-6, 8, 2). Answer: r(t) =