Question: please help me with this! 1. A line passes through the points A(2, 3) and B(-2, 1). Find a vector equation of the line. a.
please help me with this!

1. A line passes through the points A(2, 3) and B(-2, 1). Find a vector equation of the line. a. [x, )] = [2, 3] + #[-2, 1] b. [x, )] = [-2, 1] + #[2, 3] c. [x, y] = [-4, -2] + ([2, 3] d. [x, y] = [2, 3] + ([-4, -2] 2. A line has slope -3 and y-intercept 5. Find a vector equation of the line. a. [x, y] = [0, 5] + +[1, -3] c. [x, y] = [1, -3] + ([0, 5] b. [x, y] = [5, 0] + +[0, -3] d. [x, y] = [-3, 5] + #[-3, -3] 3. Write the scalar equation of the plane with normal vector # = [1, 2, 1] and passing through the point (3, 2, 1). a. x+ 2y+2+8=0 c. 3x+ 2y+2-8 =0 b. x+2y+2-8=0 d. 3x + 2y+2+8=0 4. A plane passes through the origin and has the direction vectors [1, 2, 3] and [-1, 3, -2]. Find a scalar equation of the plane. a. x + 2y+3z = 0 c. 13x + y - 5z = 9 b. -x+ 3y - 2z = 0 d. 13x + y - 5z = 0
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